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Questions and Answers of College Algebra

For each equation, (a) Write it in slope-intercept form(b) Give the slope of the line(c) Give the y-intercept(d) Graph the line.-x + y = 4
Each table of values gives several points that lie on a line. Write an equation in slope-intercept form of the line. X -5 0 0 5 10 y 6 3 0 -3 со
Graph each inequality. x + 2y > 0 V
Determine whether each relation defines a function, and give the domain and range. X 4 2 0 -2 y -3 -3 -3 -3
Each table of values gives several points that lie on a line. Write an equation in slope-intercept form of the line. X -2 0 2 3 со У -3 3 9 12
Complete the given table for each equation and then graph the equation. x-y=5 x y 0 1 3 со 0
Let ƒ(x) = -3x + 4 and g(x) = -x2 + 4x + 1. Find the following.ƒ(a + b)
In the following exercises, (a) Find the slope of the line passing through each pair of points, if possible(b) Based on the slope, indicate whether the line rises from left to right, falls from left
Complete the given table for each equation and then graph the equation. x-y= 3 x y 0 5 2 0
Determine whether each relation defines a function, and give the domain and range. X -4 -4 -4 -4 у -4 0 4 8
Determine whether each relation defines a function, and give the domain and range. X 1 1 1 1 y 5 2 -1 -4
Let ƒ(x) = -3x + 4 and g(x) = -x2 + 4x + 1. Find the following.ƒ(x + h)
Complete the given table for each equation and then graph the equation. y=x+3 x y 0 1 2 3 4
Graph each inequality. x+y> 0
Each table of values gives several points that lie on a line. Write an equation in slope-intercept form of the line. X -2 0 1 3 y -8 -4 -2 2
Graph each inequality. 4x - 5y > 20
Write an equation in slope-intercept form of the line shown in each graph. (Coordinates of the points shown are integers.) y 10 3 ➤X
In the following exercises, (a) Find the slope of the line passing through each pair of points, if possible(b) Based on the slope, indicate whether the line rises from left to right, falls from left
Let ƒ(x) = -3x + 4 and g(x) = -x2 + 4x + 1. Find the following.g(t)
In the following exercises, (a) Find the slope of the line passing through each pair of points, if possible(b) Based on the slope, indicate whether the line rises from left to right, falls from left
Determine whether each relation defines a function, and give the domain and range. {(2,5), (3, 7), (4, 9), (5, 11)}
Let ƒ(x) = -3x + 4 and g(x) = -x2 + 4x + 1. Find the following.g(π)
Complete the given table for each equation and then graph the equation. y = x - 4 x y 0 1 2 3 4
Graph each inequality. 5x - 3y > 15
Determine whether each relation defines a function, and give the domain and range. {(1, 1), (1, -1), (0, 0), (2, 4), (2, -4)}
Write an equation in slope-intercept form of the line shown in each graph. (Coordinates of the points shown are integers.) 3. y 0 X
Let ƒ(x) = -3x + 4 and g(x) = -x2 + 4x + 1. Find the following.ƒ(2t + 1)
In the following exercises, (a) Find the slope of the line passing through each pair of points, if possible(b) Based on the slope, indicate whether the line rises from left to right, falls from left
Evaluate each expression for m, applying the slope formula. m = 5-6 -8-(-8)
Plot each point in a rectangular coordinate system.(3, -3)
Let ƒ(x) = -3x + 4 and g(x) = -x2 + 4x + 1. Find the following.ƒ(x - 2)
Determine whether each relation defines a function, and give the domain and range. {(9,-2), (-3, 5), (9, 2)}
Write an equation in slope-intercept form of the line that satisfies the given conditions. Slope - y-intercept (0,7) 3 4
Graph each inequality. IV y 3 -x+ 3 2
Evaluate each expression for m, applying the slope formula. m = -2-(-2) 4-(-3)
Determine whether each relation defines a function, and give the domain and range. {(-3, 1), (4, 1), (-2,7)}
Write an equation in slope-intercept form of the line shown in each graph. (Coordinates of the points shown are integers.) -3 y 8- 3 0 -3 3 II X
Graph each inequality. 2x + 3y = 6
Plot each point in a rectangular coordinate system. (3, 0)
Evaluate each expression for m, applying the slope formula. m = 3-8 -2-(-2)
Determine whether each relation defines a function, and give the domain and range. {(-12, 5), (-10, 3), (8,3)}
Write an equation in slope-intercept form of the line shown in each graph. (Coordinates of the points shown are integers.) HI y 0 X
Graph each inequality. 3x + 4y = 12
Let ƒ(x) = -3x + 4 and g(x) = -x2 + 4x + 1. Find the following.ƒ(x + 2)
Plot each point in a rectangular coordinate system. (-2, 0)
Evaluate each expression for m, applying the slope formula. m = -5-(-5) 3-2
Determine whether each relation defines a function, and give the domain and range. {(2, 4), (0, 2), (2,5)}
Graph each inequality. y=-3x+2 5
Write an equation in slope-intercept form of the line that satisfies the given conditions. 2 Slope; y-intercept (0,5)
Evaluate each expression for m, applying the slope formula. 0-3 0-9 = u
Write an equation of the line passing through the given point(s) and satisfying the given condition. Give the equation (a) In slope-intercept form (b) In standard form 4 3 (0, -6); perpendicular to
Plot each point in a rectangular coordinate system. (-2, 4)
Let ƒ(x) = -3x + 4 and g(x) = -x2 + 4x + 1. Find the following.ƒ(-x)
Plot each point in a rectangular coordinate system. (-2, -4)
Express each relation using a different form. (For example, if the given form is a set of ordered pairs, use a graph.) There is more than one correct way to do this. OTT ⠀ 2. x-
Graph each inequality. x + 3y = -2
Write an equation in slope-intercept form of the line that satisfies the given conditions. m = 2 ž; b: 3 = 4
Let ƒ(x) = -3x + 4 and g(x) = -x2 + 4x + 1. Find the following.g(0.5)
Plot each point in a rectangular coordinate system. (-3, -2)
A student found the slope of the line through the points (-4, 5) and (2, 7) as follows.This is incorrect. Give the correct slope. m 7-5 2 -4-2 -6 || 1 3
Write an equation of the line passing through the given point(s) and satisfying the given condition. Give the equation (a) In slope-intercept form (b) In standard form (4, -2); perpendicular to the
Graph each inequality. x + 4y = -3
Write an equation in slope-intercept form of the line that satisfies the given conditions. 5 = -²; b = -1/2 8 3 m =
Write an equation of the line passing through the given point(s) and satisfying the given condition. Give the equation (a) In slope-intercept form (b) In standard form (-4, 2); parallel to the line
Let ƒ(x) = -3x + 4 and g(x) = -x2 + 4x + 1. Find the following.g(1.5)
Determine whether each relation defines a function, and give the domain and range. {(5, 1), (3, 2), (4,9), (7,6)}
A student found the slope of the line through the points (-3, 4) and (-5, -1) as follows.This is incorrect. Give the correct slope. m -3-(-5) 4- (-1) 2|5
Plot each point in a rectangular coordinate system. (1, -4)
Graph each inequality. 1 y < = x + 3 2
Write an equation in slope-intercept form of the line that satisfies the given conditions.Slope 1; y-intercept (0, -1)
Write an equation of the line passing through the given point(s) and satisfying the given condition. Give the equation (a) In slope-intercept form (b) In standard form 74 (2, -1); parallel to y = x
Evaluate each expression for m, applying the slope formula. m 6-2 5-3
Let ƒ(x) = -3x + 4 and g(x) = -x2 + 4x + 1. Find the following.ƒ(p)
Plot each point in a rectangular coordinate system.(0, 5)
Determine whether each relation defines a function, and give the domain and range. {(8,0), (5, 4), (9,3), (3,8)}
Graph each inequality. 1 y<
Write an equation in slope-intercept form of the line that satisfies the given conditions.Slope -1; y-intercept (0, -3)
Write an equation of the line passing through the given point(s) and satisfying the given condition. Give the equation (a) In slope-intercept form (b) In standard form (-); perpendicular to x = 2/3
Which forms of the slope formula are correct? Explain. A. m = Ji J2 X₂ - X1 B. m = Y1Y2 X1 X₂ C. m = 12-11 Y/2 - Y1 D. m = Y2Y1 X₂ - X1
Let ƒ(x) = -3x + 4 and g(x) = -x2 + 4x + 1. Find the following. f 7 3
Graph each inequality. 3x-y < 3
Plot each point in a rectangular coordinate system.(-1, 2)
Express each relation using a different form. (For example, if the given form is a set of ordered pairs, use a graph.) There is more than one correct way to do this. -3. 2 -4 1 0
Write an equation of the line passing through the given point(s) and satisfying the given condition. Give the equation (a) In slope-intercept form (b) In standard form (5, -8); parallel to y = 4
Let ƒ(x) = -3x + 4 and g(x) = -x2 + 4x + 1. Find the following. f To 3
Refer to the figure shown here and determine which line satisfies the given description.(a) The line has positive slope.(b) The line has negative slope.(c) The line has slope 0.(d) The line has
Express each relation using a different form. (For example, if the given form is a set of ordered pairs, use a graph.) There is more than one correct way to do this. X -1 0 1 3 со y -3 -1 1 3 со
Graph each inequality. 4x-y< 4
Determine the slope of each line segment in the given figure.If B and D were joined by a line segment in the figure, what would be its slope? ·D· H y E +
Write an equation in slope-intercept form of the line that satisfies the given conditions.m = 2; b = 12
Write an equation of the line passing through the given point(s) and satisfying the given condition. Give the equation (a) In slope-intercept form (b) In standard form Origin; slope I 52
Graph each inequality. x+y=-3
Match each equation with the graph that it most closely resembles.y = -3 A. D. G. X X X B. E. H. J 0 X X X C. F. I. x * # X
Write an equation of the line passing through the given point(s) and satisfying the given condition. Give the equation (a) In slope-intercept form (b) In standard form (-2,5) and (1, 14)
Plot each point in a rectangular coordinate system.(2, 3)
Write an equation in slope-intercept form of the line that satisfies the given conditions.m = 5; b = 15
Determine the slope of each line segment in the given figure.If A and F were joined by a line segment in the figure, what would be its slope? ·D· H y E +
Write an equation of the line passing through the given point(s) and satisfying the given condition. Give the equation (a) In slope-intercept form (b) In standard form (4, -8) and (-4, 12)
Match each equation with the graph that it most closely resembles.y = 3 A. D. G. X X X B. E. H. J 0 X X X C. F. I. x * # X
A student incorrectly claimed that the point (0, -4) lies on the x-axis because the x-coordinate is 0.

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