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college algebra

Questions and Answers of College Algebra

Use the geometric interpretation of slope (“rise over run”) to find the slope of each line. (Coordinates of the points shown are integers.) y 0: -2. 2. ⠀⠀ U
Write an equation of the line passing through the given point and having the given slope. Give the equation (a) In slope-intercept form (b) In standard form. (6, 1.2); slope 0.8
Determine whether each relation defines a function, and give the domain and range. X 0 +B
Refer to the given graph. Find the value of x for each value of ƒ(x). (a) f(x) = 4 (b) f(x) = -2 (c) f(x) = 0 y 2. I COO 0 TH/2H y = f(x) H III X
Use the definition of absolute value to write each inequality as a compound inequality, and graph its solution set in the rectangular coordinate plane. |x+1|
Use the geometric interpretation of slope (“rise over run”) to find the slope of each line. (Coordinates of the points shown are integers.) U -2. 1.3 H y 2 X
Write an equation of the line passing through the given point and having the given slope. Give the equation (a) In slope-intercept form (b) In standard form. (2, 6.8); slope 1.4
Determine whether each relation defines a function, and give the domain and range. X 0
Find the slope of each line in three ways by doing the following.(a) Give any two points that lie on the line, and use them to determine the slope.(b) Solve the equation for y, and identify the slope
Find the x-and y-intercepts. Then graph each equation.4y = 3x
Use the definition of absolute value to write each inequality as a compound inequality, and graph its solution set in the rectangular coordinate plane. |y|
Use the geometric interpretation of slope (“rise over run”) to find the slope of each line. (Coordinates of the points shown are integers.) -2. ⠀⠀ 2 3. III. X
Write an equation of the line passing through the given point and having the given slope. Give the equation (a) In slope-intercept form (b) In standard form. (-2, 0); slope -5
Find the x-and y-intercepts. Then graph each equation.2x = 3y
Find the x-and y-intercepts. Then graph each equation.4x - y = 0
Determine whether each relation defines a function, and give the domain and range. y ----+-+-+-+-+- 0 Coqad X
Write an equation of the line passing through the given point and having the given slope. Give the equation (a) In slope-intercept form (b) In standard form. (12, 10); slope 1
Graph the intersection of each pair of inequalities. x-y≥ 2 and x ≥ 3
For each function, find (a) ƒ(2) and (b) ƒ(-1). X 8 5 2 -1 -4 y = f(x) 6 3 0 -3 -6
Write an equation of the line passing through the given point and having the given slope. Give the equation (a) In slope-intercept form (b) In standard form. 314 (-2, 4); slope -4
Determine whether each relation defines a function, and give the domain and range. y FFF 2 0.2 -X
Graph the intersection of each pair of inequalities. 2x - y 2 and y < 4 ≥
Each table of values gives several points that lie on a line. Find the slope of the line. X -1 y 8 9 0 2 2 3 O
Find the x- and y-intercepts. Then graph each equation. 2 3 x - 3y = 7
For each function, find (a) ƒ(2) and (b) ƒ(-1). 2. -20 H 2 y = f(x) III. X
Determine whether each relation defines a function, and give the domain and range. EEB H y 2 0. 2. X
Find the x- and y-intercepts. Then graph each equation.3x - 7y = 9
Write an equation of the line passing through the given point and having the given slope. Give the equation (a) In slope-intercept form (b) In standard form. (-1, 6); slope 516
Each table of values gives several points that lie on a line. Find the slope of the line. X -3 -1 0 2 у 6 0 -3 -9
Graph the intersection of each pair of inequalities. 3x - y 3 and y
Graph the intersection of each pair of inequalities. x+y> -5 and y < -2
Find the x-and y-intercepts. Then graph each equation. 5 6 7 x+y=- -2
Write an equation of the line passing through the given point and having the given slope. Give the equation (a) In slope-intercept form (b) In standard form. (-5, 4); slope:
Each table of values gives several points that lie on a line. Find the slope of the line. X -6 y -4 -30 0 3 4 8
Write an equation of the line passing through the given point and having the given slope. Give the equation (a) In slope-intercept form (b) In standard form. (7,-2); slope 4
Each table of values gives several points that lie on a line. Find the slope of the line. X -5 0 5 10 У -4 -2 0 2
Graph the intersection of each pair of inequalities. 6x - 4y 10 and y> 2
Determine whether each relation defines a function, and give the domain and range. -4 .:0. -3 + X
Write an equation of the line passing through the given point and having the given slope. Give the equation (a) In slope-intercept form (b) In standard form. (3, 0); slope 4
Use the geometric interpretation of slope (“rise over run”) to find the slope of each line. (Coordinates of the points shown are integers.) y -2 DU 2.. X
Use the definition of absolute value to write each inequality as a compound inequality, and graph its solution set in the rectangular coordinate plane. |x|
Find the x-and y-intercepts. Then graph each equation.x + 5y = 0
Refer to the given graph. Find the value of x for each value of ƒ(x). (a) f(x) = 3 (b) f(x) = -1 (c) f(x)= = -3 H ·2· -20 2 H y = f(x) X
Find the x-and y-intercepts. Then graph each equation.x - 3y = 0
Find the x-and y-intercepts. Then graph each equation.2x + y = 0
Find the slope of the line passing through the given pair of points. 49 (-20) and (-10-3) 5' 10, 5
For each function, find (a) ƒ(2) and (b) ƒ(-1). X 2 1 0 -1 -2 y = f(x) 4 1 0 1 4
Determine whether each relation defines a function, and give the domain and range. X 0 HH #H H H
Graph the intersection of each pair of inequalities. x + y ≤ 1 and x ≥ 1
Write an equation of the line passing through the given point and having the given slope. Give the equation (a) In slope-intercept form (b) In standard form. (5, 8); slope -2
Find the slope of the line passing through the given pair of points. 25 (32) and (²) 9' 18 9
Find the x-and y-intercepts. Then graph each equation.5x + 6y = -10
Determine whether each relation defines a function, and give the domain and range. 0 > X
Find the slope of the line passing through the given pair of points. + and Alun
Complete each of the following to write an inequality for the graph shown.Determine the following for the boundary line.Slope:______y-intercept:________Equation: y =________The boundary line here is
Find the x-and y-intercepts. Then graph each equation.x - 2y = -4
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 + 3y = -9
Find the x-and y-intercepts. Then graph each equation.x - 3y = 6
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
For each function, find (a) ƒ(2) and (b) ƒ(-1). f = {(-1,-5), (0, 5), (2,-5)}
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. EB y 0. I-H H H II X
Complete each of the following to write an inequality for the graph shown.Determine the following for the boundary line.Slope:______y-intercept:________Equation: y =________The boundary line here is
Determine whether each relation defines a function, and give the domain and range. II 2 0 X
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.4x - 5y = 20
Graph each inequality.y + 5 < 2
Find the x- and y-intercepts. Then graph each equation.2x + 3y = 12
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.7x - 3y = 3
Graph each inequality.y - 1 > 3
Find the x- and y-intercepts. Then graph each equation.5x + 2y = 10
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 + 2y = -4
Which of the following equations have a graph that is a horizontal line? A vertical line? A. x6 = 0 B. x + y = 0 C. y + 3 = 0 D. y = -10 E. x + 1 = 5
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. y 0. (4,0) (-1,-3) (1, -3).. H X
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.3x + 4y = 12
Graph each inequality. x - 1 ≤ 0
Match each equation in parts (a)–(d) with its graph in choices A–D. (Coordinates of the points shown are integers.) (a) x + 3y = 3 A. :: C :: (b) x-3y = -3 B. : A y + 3 - :: ⠀⠀⠀ LL (c) x 3y
Determine whether each relation defines a function, and give the domain and range. (-2, 2) +++ 0. (0, 3) ||☀(3, 2) X
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.6x + 5y = 30
Graph each inequality. x + 3 ≥ 0
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. 6x-5y=30 у X 0 0 3 со 0 -2
Let ƒ(x) = -3x + 4 and g(x) = -x2 + 4x + 1. Find the following. 8 X
Let ƒ(x) = -3x + 4 and g(x) = -x2 + 4x + 1. Find the following. 00 d 3
Complete the given table for each equation and then graph the equation. 4x - 5y = 20 X y 0 2 0 -3
Determine whether each relation defines a function, and give the domain and range. 1 2 ~ 3- ل ال 5- -10 15 19 -27
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. 25 2- 5 11 17- 3 2 1 7 20
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
Each table of values gives several points that lie on a line. Write an equation in slope-intercept form of the line. X -4 -2 0 2 y 5 0 -5 -10
Determine whether each relation defines a function, and give the domain and range. X -3 -1 1 3 y -6 -6 -6 -6
Complete the given table for each equation and then graph the equation. x + 3y = -5 X x y 0 1 0 -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
Graph each inequality. y ≤ 4x
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 = 6
Graph each inequality. x - 5y ≤ 0
Complete the given table for each equation and then graph the equation. x + 2y = 5 x y 0 2 0 2
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
Graph each inequality. y < x
Graph each inequality. x - 3y ≤0

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