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mathematics
college algebra
Questions and Answers of
College Algebra
Graph each function. f(x) = 3 if x < -2 12-1/x ifx-2
Graph each function.ƒ(x) = 4 |x|
Write an equation for each line described. Give answers in standard form for and in slope-intercept form (if possible).Through (-1, 3) and (3, 4)
Graph each function. 2 f(x) = 3 |x|
Graph each linear function. Give the domain and range. Identify any constant functions.ƒ (x) = 0
For the points P and Q, find (a) the distance d(P, Q) and (b) the coordinates of the midpoint M of line segment PQ.P(-6, -5), Q(6, 10)
For each graph, decide whether y is a function of x. Give the domain and range of each relation. y х 6.
Graph each function. f(x) 3 4
Graph each function.g(x) = 3x2
Graph each line. Give the domain and range.3y - 4x = 0
Graph each function. 8(x) =x² 2
Write an equation for each line described. Give answers in standard form for and in slope-intercept form (if possible).Vertical, through (2, 7)
Graph each function. f(x) =
Determine whether the three points are the vertices of a right triangle.(-4, 1), (1, 4), (-6, -1)
Decide whether each equation defines y as a function of x.y = 6 - x2
Graph each piecewise-defined function. if x1 -1 f(x) =
Use each graph to determine an equation of the circle in (a) center-radius form and (b) general form. (-2, 4) + (0, 2) (-4, 2) (-2, 0)
Graph each line. Give the domain and range.x = -4
For each relation, (a) find the domain and range, and (b) if the relation defines y as a function ƒ of x, rewrite the relation using function notation and find ƒ(-2).y2 - x = 5
Write an equation for each line described. Give answers in standard form for and in slope-intercept form (if possible).Horizontal, through (-8, -2)
Determine whether the three points are the vertices of a right triangle.(-2, -5), (1, 7), (3, 15)
Decide whether each equation defines y as a function of x. = X x 1 y 3*
Graph each piecewise-defined function. -2 if x1 f(x) =
Use each graph to determine an equation of the circle in (a) center-radius form and (b) general form. y (3, 0) х (0, –3) (6, –3) (3, –6)
Decide whether each relation defines a function, and give the domain and range.Season* (x)
Graph each line. Give the domain and range.2x + 4 = 0
For each relation, (a) find the domain and range, and (b) if the relation defines y as a function ƒ of x, rewrite the relation using function notation and find ƒ(-2).(x + 2)2 + y2 = 25
Graph each function. f(x) = -3|x|
Write an equation for each line described. Give answers in standard form for and in slope-intercept form (if possible).m = 5, b = 15
Determine whether the three points are the vertices of a right triangle.(-4, 3), (2, 5), (-1, -6)
Decide whether each equation defines y as a function of x. y = x - 2
Graph each piecewise-defined function. 2+х ifx< —4 f(x) = if -4 5 Зх
Decide whether or not each equation has a circle as its graph. If it does, give the center and radius. If it does not, describe the graph.x2 + y2 + 6x + 8y + 9 = 0
Decide whether each relation defines a function, and give the domain and range. y
For each relation, (a) Find the domain and range, (b) If the relation defines y as a function ƒ of x, rewrite the relation using function notation and find ƒ(-2).x2 - 2y = 3
Graph each line. Give the domain and range.-3x + 6 = 0
Determine whether the three points are the vertices of a right triangle.(-7, 4), (6, -2), (0, -15)
Write an equation for each line described. Give answers in standard form for and in slope-intercept form (if possible).m = -2, b = 12
Graph each function.ƒ(x) = -2 |x|
Decide whether each equation defines y as a function of x. y = 4 X
Graph each piecewise-defined function. -2x f(x) = 3x - 1 -4x if x < -3 if -3 x2 if x > 2
Decide whether or not each equation has a circle as its graph. If it does, give the center and radius. If it does not, describe the graph.x2 + y2 + 8x - 6y + 16 = 0
Decide whether each relation defines a function, and give the domain and range. 士
Graph each line. Give the domain and range.-x + 5 = 0
Graph each function. h(x) = 1 2 X
Write an equation for each line described. Give answers in standard form for and in slope-intercept form (if possible).Through (-2, 5) having slope -4
Determine whether the three points are collinear.(0, -7), (-3, 5), (2, -15)
Give the domain of each function.ƒ(x) = -4 + |x|
Graph each piecewise-defined function. f(x) = - 1/x+2 ifx2 1 -X 2 if x > 2
Decide whether or not each equation has a circle as its graph. If it does, give the center and radius. If it does not, describe the graph.x2 + y2 - 4x + 12y = -4
Graph each function. h(x) = -X 3
Graph each line. Give the domain and range.3 + x = 0
Write an equation for each line described. Give answers in standard form for and in slope-intercept form (if possible).Through (4, -7) having slope -2
Determine whether the three points are collinear.(-1, 4), (-2, -1), (1, 14)
Give the domain of each function. f(x) 8 + x 8-x
Graph each piecewise-defined function. f(x) = = x + 5 if x 0 1-x if x > 0
Decide whether each relation defines a function, and give the domain and range. |-4 х
Match each equation with the sketch that most closely resembles its graph.y = 5 C. B. |A. D. х х х
Graph each function. h(x) = 4x
Write an equation for each line described. Give answers in standard form for and in slope-intercept form (if possible).Slope 0, y-intercept (0, 3/2)
Determine whether the three points are collinear.(0, 9), (-3, -7), (2, 19)
Give the domain of each function. f(x) = 6 - 3x
Graph each piecewise-defined function. 2x f(x) = -2 x2 if -5 x < -1 if -1 x
Decide whether or not each equation has a circle as its graph. If it does, give the center and radius. If it does not, describe the graph.4x2 + 4y2 + 4x - 16y - 19 = 0
Decide whether each relation defines a function, and give the domain and range. y х
Match each equation with the sketch that most closely resembles its graph.y = -5 C. B. |A. D. х х х
The graph shows dollars (in billions) spent for general science and for space/other technologies in selected years.G (x) represents the dollars spent for general science.S (x) represents the dollars
Graph each function. h(x) = 9x
Write an equation for each line described. Give answers in standard form for and in slope-intercept form (if possible).Slope 0, y-intercept (0, - 5/4)
Determine whether the three points are collinear.(-1, -3), (-5, 12), (1, -11)
For the function graphed in Exercise 22, determine the largest open intervals over which it is (a) increasing, (b) decreasing, and (c) constant.Exercise 22. х -2 .2.
Graph each piecewise-defined function. f(x) 0.5x2 if -4 x-2 if -2
Decide whether or not each equation has a circle as its graph. If it does, give the center and radius. If it does not, describe the graph.9x2 + 9y2 + 12x - 18y - 23 = 0
Decide whether each relation defines a function, and give the domain and range. y х 0.
Use a graphing calculator to graph each equation in the standard viewing window.y = 3x + 4
Match each equation with the sketch that most closely resembles its graph.x = 5 C. B. |A. D. х х х
Use the graph to evaluate each expression.(a) (ƒ + g)(2) (b) (ƒ - g)(1)(c) (ƒg)(0) (d) (ƒ/g)(1) y y = f(x) 3 х y = g(x) -3
Graph each function. f(x) = -=x
Fill in each blank with the appropriate response:The line x + 2 = 0 has x-intercept _________. It________ have a (does/does not)y-intercept. The slope of this line is __________. (0/undefined)The
Let ƒ(x) = -2x2 + 3x - 6. Find each of the following.ƒ(3)
Determine whether the three points are collinear.(-7, 4), (6, -2), (-1, 1)
Decide whether or not each equation has a circle as its graph. If it does, give the center and radius. If it does not, describe the graph.x2 + y2 + 2x - 6y + 14 = 0
Graph each piecewise-defined function. f(x) = x +3 x + 3 4+x-x if -2 x 0 if 0
Decide whether each relation defines y as a function of x. Give the domain and range.y = x2
Match each equation with the sketch that most closely resembles its graph.x = -5 C. B. |A. D. х х х
Use the graph to evaluate each expression.(a) (ƒ + g)(0) (b) (ƒ - g)(-1)(c) (ƒg)(1) (d) (ƒg)(2) y 4 3 y = f(x) y = g(x) х -3 -2 2 3
Graph each function.f(x) = -|-x|
Match each equation with the line that would most closely resemble its graph.(a) y = 3x + 2 (b) y = -3x + 2 (c) y = 3x - 2 (d) y = -3x - 2 D. A. B. C. Y х х х
Determine whether the three points are collinear.(-4, 3), (2, 5), (-1, 4)
Let ƒ(x) = -2x2 + 3x - 6. Find each of the following.ƒ(-0.5)
Decide whether each relation defines a function, and give the domain and range.Year (x)........................................... Number of Visits
Graph each function.ƒ(x) = 3 |x|
Decide whether each relation defines a function.{(9, -2), (-3, 5), (9, 1)}
Match each equation in Column I with a description of its graph from Column II as it relates to the graph of Y = 3√X. II |(a) y = 4V |(b) y = - V (c) y = V-x (d) y = Vx – 4 A. a translation 4
Graph each piecewise-defined function. f(x) = -2x x + 1 3+1 if -3 x < -1 if -1 x 2 if 2
Decide whether or not each equation has a circle as its graph. If it does, give the center and radius. If it does not, describe the graph.x2 + y2 + 4x - 8y + 32 = 0
Let ƒ(x) = -2x2 + 3x - 6. Find each of the following.ƒ(0)
Find the coordinates of the other endpoint of each line segment, given its midpoint and one endpoint.Midpoint (5, 8), endpoint (13, 10)
An equation that defines y as a function of x is given. (a) Rewrite each equation using function notation ƒ(x). (b) Find ƒ(3).4x - 3y = 8
Give a rule for each piecewise-defined function. Also give the domain and range. 10
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