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mathematics
college algebra graphs and models

Questions and Answers of College Algebra Graphs And Models

The bar graph shows that as costs changed over the decades, Americans devoted less of their budget to groceries and more to health care.In Exercises 25–26, find a linear function in slope-intercept
In Exercises 17–32, determine whether the graph of each equation is symmetric with respect to the y-axis, the x-axis, the origin, more than one of these, or none of these. x³y² = 5
In Exercises 25–26, determine whether the graph of each equation is symmetric with respect to the y-axis, the x-axis, the origin, more than one of these, or none of these.y = x3 - 1
In Exercises 19–30, find the midpoint of each line segment with the given endpoints. 27 5' 15 and alin 2 4 5' 15
In Exercises 11–26, determine whether each equation defines y as a function of x. |x| - y = 2
In Exercises 1–30, find the domain of each function. h(x) = √x 2 + √x + 3
In Exercises 25–26, use the given conditions to write an equation for each line in point-slope form and slope-intercept form.Passing through (-4, 6) and perpendicular to the line whose equation is
In Exercises 25–27, determine whether each graph is the graph of an even function, an odd function, or a function that is neither even nor odd. y X
In Exercises 17–32, determine whether the graph of each equation is symmetric with respect to the y-axis, the x-axis, the origin, more than one of these, or none of these. x²y³ = 2
In Exercises 17–32, use the graph of y = f(x) to graph each function g.g(x) = f(-x) + 1 T 321 4,0) 5-4-3-2-1 3- y IIII] y = f(x) 8:00:07 11 (2,2) 2 (0, 0) (4,0) 2 3 4 5 (-2,-2) 3- [IIIII|IIIII X
The functions in Exercises 11–28 are all one-to-one. For each function,a. Find an equation for f -1(x), the inverse function.b. Verify that your equation is correct by showing that f( f -1(x)) = x
In Exercises 11–38, use the given conditions to write an equation for each line in point-slope form and slope-intercept form.Passing through (1, 2) and (5, 10)
In Exercises 19–30, find the midpoint of each line segment with the given endpoints. 7 3 2'2, and NIU N
In Exercises 25–26, determine whether the graph of each equation is symmetric with respect to the y-axis, the x-axis, the origin, more than one of these, or none of these.x = y2 + 1
In Exercises 11–26, determine whether each equation defines y as a function of x. |x| = y = 5
In Exercises 25–27, determine whether each graph is the graph of an even function, an odd function, or a function that is neither even nor odd. y x
The functions in Exercises 11–28 are all one-to-one. For each function,a. Find an equation for f -1(x), the inverse function.b. Verify that your equation is correct by showing that f( f -1(x)) = x
In Exercises 1–30, find the domain of each function. h(x) = √x - 3+ √x +4
In Exercises 17–32, use the graph of y = f(x) to graph each function g.g(x) = -f(x) + 1 T 321 4,0) 5-4-3-2-1 3- y IIII] y = f(x) 8:00:07 11 (2,2) 2 (0, 0) (4,0) 2 3 4 5 (-2,-2) 3- [IIIII|IIIII X
In Exercises 11–38, use the given conditions to write an equation for each line in point-slope form and slope-intercept form.Passing through (3, 5) and (8, 15)
Write an equation in general form for the line passing through (-7, -10) and parallel to the line whose equation is 4x + 2y - 5 = 0.
The stated intent of the 1994 “don’t ask, don’t tell” policy was to reduce the number of discharges of gay men and lesbians from the military. Nearly 14,000 active-duty gay servicemembers
In Exercises 19–30, find the midpoint of each line segment with the given endpoints. (8,3√5) and (-6, 7√5)
In Exercises 11–38, use the given conditions to write an equation for each line in point-slope form and slope-intercept form. Slope = 1, passing through the origin
In Exercises 22–24, determine whether the graph of each equation is symmetric with respect to the y-axis, the x-axis, the origin, more than one of these, or none of these.y = x2 + 8
Use the graph of f to solve Exercises 9–24. Where applicable, use interval notation.Is f even, odd, or neither? y = f(x) # [TD y X
In Exercises 27–38, graph each equation in a rectangular coordinate system.x = 3.5
In Exercises 17–32, determine whether the graph of each equation is symmetric with respect to the y-axis, the x-axis, the origin, more than one of these, or none of these. x² + y² = 100 R
The stated intent of the 1994 “don’t ask, don’t tell” policy was to reduce the number of discharges of gay men and lesbians from the military. Nearly 14,000 active-duty gay servicemembers
In Exercises 19–30, find the midpoint of each line segment with the given endpoints. (7V3, -6) and (3√3,-2)
In Exercises 28–30, determine whether each function is even, odd, or neither. State each function’s symmetry. If you are using a graphing utility, graph the function and verify its possible
Find the average rate of change of f(x) = 3x2 - 5 from x1 = 6 to x2 = 10.
Which graphs in Exercises 29–34 represent functions that have inverse functions? y x
In Exercises 17–32, determine whether the graph of each equation is symmetric with respect to the y-axis, the x-axis, the origin, more than one of these, or none of these. y4 = x³ + 6
In Exercises 17–32, use the graph of y = f(x) to graph each function g.g(x) = 2f(x + 2) + 1 T 321 4,0) 5-4-3-2-1 3- y IIII] y = f(x) 8:00:07 11 (2,2) 2 (0, 0) (4,0) 2 3 4 5 (-2,-2) 3- [IIIII|IIIII X
Which graphs in Exercises 29–34 represent functions that have inverse functions? y X
In Exercises 31–40, write the standard form of the equation of the circle with the given center and radius.Center (0, 0), r = 7
In Exercises 31–32, the domain of each piecewise function is (-∞,∞).a. Graph each function.b. Use the graph to determine the function’s range. f(x) = 5 -3 if if x < -1 x>-1
In Exercises 31–50, find f + g, f - g, fg, and f/g. Determine the domain for each function.f(x) = 2x + 3, g(x) = x - 1
In Exercises 11–38, use the given conditions to write an equation for each line in point-slope form and slope-intercept form.Passing through (-3, -2) and (3, 6)
In Exercises 17–32, determine whether the graph of each equation is symmetric with respect to the y-axis, the x-axis, the origin, more than one of these, or none of these. y5 = x4 + 2
In Exercises 17–32, use the graph of y = f(x) to graph each function g.g(x) = 2f(x + 2) - 1 T 321 4,0) 5-4-3-2-1 3- y IIII] y = f(x) 8:00:07 11 (2,2) 2 (0, 0) (4,0) 2 3 4 5 (-2,-2) 3- [IIIII|IIIII X
Which graphs in Exercises 29–34 represent functions that have inverse functions? y - Х
In Exercises 31–32, the domain of each piecewise function is (-∞,∞).a. Graph each function.b. Use the graph to determine the function’s range. f(x) = { 2x if -X if x < 0 x ≥ 0
In Exercises 31–32, find the domain of each function. f(x) = 3√x + 5+7√x - 1
In Exercises 31–40, write the standard form of the equation of the circle with the given center and radius.Center (0, 0), r = 8
In Exercises 27–38, graph each equation in a rectangular coordinate system.4x - 2y = 8
In Exercises 17–32, determine whether the graph of each equation is symmetric with respect to the y-axis, the x-axis, the origin, more than one of these, or none of these. x²y² + 5xy = 2
In Exercises 1–30, find the domain of each function. f(x): = 7x + 2 x³2x²9x + 18
If two lines are perpendicular, describe the relationship between their slopes.
In Exercises 31–32, find the domain of each function. f(x) = = 3 x + 5 دیا + 7 x - 1
In Exercises 28–30, determine whether each function is even, odd, or neither. State each function’s symmetry. If you are using a graphing utility, graph the function and verify its possible
In Exercises 17–32, use the graph of y = f(x) to graph each function g.g(x) = f(1/2x) T 321 4,0) 5-4-3-2-1 3- y IIII] y = f(x) 8:00:07 11 (2,2) 2 (0, 0) (4,0) 2 3 4 5 (-2,-2) 3- [IIIII|IIIII X
In Exercises 19–30, find the midpoint of each line segment with the given endpoints. (√50, -6) and (√2, 6)
In Exercises 1–30, find the domain of each function. f(x) 2x + 7 2 3 x³5x² - 4x + 20
The function f(x) = 1.1x3 - 35x2 + 264x + 557 models the number of discharges, f(x), under “don’t ask, don’t tell” x years after 1994. Use this model and its graph, shown below, to solve
In Exercises 17–32, use the graph of y = f(x) to graph each function g.g(x) = f(2x) T 321 4,0) 5-4-3-2-1 3- y IIII] y = f(x) 8:00:07 11 (2,2) 2 (0, 0) (4,0) 2 3 4 5 (-2,-2) 3- [IIIII|IIIII X
In Exercises 17–32, determine whether the graph of each equation is symmetric with respect to the y-axis, the x-axis, the origin, more than one of these, or none of these. x²y2 + 3xy = 1 =
Which graphs in Exercises 29–34 represent functions that have inverse functions? x
In Exercises 11–38, use the given conditions to write an equation for each line in point-slope form and slope-intercept form.Passing through (-2, -4) and (1, -1)
If two lines are parallel, describe the relationship between their slopes.
In Exercises 27–38, graph each equation in a rectangular coordinate system.y = 1/3 x - 2
In Exercises 28–30, determine whether each function is even, odd, or neither. State each function’s symmetry. If you are using a graphing utility, graph the function and verify its possible
In Exercises 11–38, use the given conditions to write an equation for each line in point-slope form and slope-intercept form.Passing through (-3, -1) and (2, 4)
In Exercises 19–30, find the midpoint of each line segment with the given endpoints. (V18, -4) and (V2,4)
In Exercises 27–38, graph each equation in a rectangular coordinate system.x + y = -2
The function f(x) = 1.1x3 - 35x2 + 264x + 557 models the number of discharges, f(x), under “don’t ask, don’t tell” x years after 1994. Use this model and its graph, shown below, to
In Exercises 17–32, determine whether the graph of each equation is symmetric with respect to the y-axis, the x-axis, the origin, more than one of these, or none of these. x² + y² = 49
The functions in Exercises 11–28 are all one-to-one. For each function,a. Find an equation for f -1(x), the inverse function.b. Verify that your equation is correct by showing that f( f -1(x)) = x
In Exercises 1–30, find the domain of each function. g(x) = Vx - 3 6 9-x
In Exercises 17–32, use the graph of y = f(x) to graph each function g.g(x) = 1/2f(x) T 321 4,0) 5-4-3-2-1 3- y IIII] y = f(x) 8:00:07 11 (2,2) 2 (0, 0) (4,0) 2 3 4 5 (-2,-2) 3- [IIIII|IIIII X
In Exercises 17–32, use the graph of y = f(x) to graph each function g.g(x) = 2f(x) T 321 4,0) 5-4-3-2-1 3- y IIII] y = f(x) 8:00:07 11 (2,2) 2 (0, 0) (4,0) 2 3 4 5 (-2,-2) 3- [IIIII|IIIII X
In Exercises 11–38, use the given conditions to write an equation for each line in point-slope form and slope-intercept form.Passing through (-2, 0) and (0, 2)
In Exercises 1–30, find the domain of each function. g(x) = Vx2 x-5
The functions in Exercises 11–28 are all one-to-one. For each function,a. Find an equation for f -1(x), the inverse function.b. Verify that your equation is correct by showing that f( f -1(x)) = x
In Exercises 25–27, determine whether each graph is the graph of an even function, an odd function, or a function that is neither even nor odd. y
In Exercises 27–38, graph each equation in a rectangular coordinate system.y = -2
In Exercises 11–38, use the given conditions to write an equation for each line in point-slope form and slope-intercept form.Passing through (-3, 0) and (0, 3)
In Exercises 27–38, graph each equation in a rectangular coordinate system.y = -2x
Find the coordinates of all intercepts. -2 y 24 y=6x² + 4x-2 X
Write the expression in standard form. 4-2i i
Evaluate the expression with a calculator. (17.161) (8.4 +0.71) -
Solve each equation and inequality. Use set-builder or interval notation to write solution sets to the inequalities. (a) x² + 5x +4=0 (b) x² + 5x + 4
Solve each equation and inequality. Use set-builder or interval notation to write solution sets to the inequalities. (a) 3x² + 8x = 0 (b) 3x² + 8x ≤ 0 (c) 3x² + 8x20
Solve each equation and inequality. Use set-builder or interval notation to write solution sets to the inequalities. (a) 7x² - 4x = 0 (b) 7x² - 4x ≤0 (c) 7x² - 4x = 0
Solve each equation and inequality. Use set-builder or interval notation to write solution sets to the inequalities. 0 < 9+X+X= (3) 0>9+*+zx- (9) 0 = 5 + x + ₂X (B)
Solve each equation and inequality. Use set-builder or interval notation to write solution sets to the inequalities. (a) (b) (c) -4x² + 12x-9 = 0 4x² + 12x-9 0
Solve each equation and inequality. Use set-builder or interval notation to write solution sets to the inequalities. (a) x²-3x + 2 = 0 (b) x²-3x + 2 0
Solve each equation and inequality. Use set-builder or interval notation to write solution sets to the inequalities. (a) (b) (c) x²+x+6=0 x² + x + 6 0
Solve each equation and inequality. Use set-builder or interval notation to write solution sets to the inequalities. (a) 18² +9z - 20 = 0 (b) 18z²+9z - 20 ≤ 0 (c) 18z²+9z - 20 ≥ 0
Solve each equation and inequality. Use set-builder or interval notation to write solution sets to the inequalities. (a) x² + 2x + 1 = 0 (b) x² + 2x + 1 0
Solve each equation and inequality. Use set-builder or interval notation to write solution sets to the inequalities. (a) x² + 4x - 3=0 (b) x² + 4x3 0
Solve each equation and inequality. Use set-builder or interval notation to write solution sets to the inequalities. (a) 12² 23z + 10 = 0 (b) 12² 23z + 10 ≤ 0 (c) 12² - 23z + 10 ≥ 0
Solve each equation and inequality. Use set-builder or interval notation to write solution sets to the inequalities. (a) x² + 2x-1=0 (b) x² + 2x -1 0
Use the graph of y = f(x) and symbolic techniques to solve each equation or inequality. Use set- builder or interval notation to write solution sets to the inequalities. (a) f(x)=0 (b) f(x) < 0 (c)
The graph of f(x) = ax2 + bx + c is shown in the figure. Solve each inequality. (a) f(x) > 0 (b) f(x) < 0 32 7 3 -y=f(x). X
Use the graph of y = f(x) and symbolic techniques to solve each equation or inequality. Use set- builder or interval notation to write solution sets to the inequalities. (a) f(x)=0 (b) f(x) < 0 (c)
The graph of f(x) = ax2 + bx + c is shown in the figure. Solve each inequality. (a) f(x) < 0 (b) f(x) = 0 I 3 -y=f(x)
Use the graph of y = f(x) and symbolic techniques to solve each equation or inequality. Use set- builder or interval notation to write solution sets to the inequalities. (a) f(x)=0 (b) f(x) < 0 (c)
The graph of f(x) = ax2 + bx + c is shown in the figure. Solve each inequality. (a) f(x) > 0 (b) f(x) < 0 y = f(x) 2 4 Xx

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