Blitzer - College Algebra 8th Edition

Ch. 2 - Functions and Graphs

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Blitzer 8th Edition

Ch. 2 - Functions and Graphs

Section 2.1

Problem 80

In Exercises 77–92, use the graph to determine a. the function's range; b. the y-intercept, if any; and e. the missing function values, indicated by question marks, below each graph.

Problem 81

In Exercises 77–92, use the graph to determine a. the function's domain; b. the function's range; c. the x-intercepts, if any; d. the y-intercept, if any; and e. the missing function values, indicated by question marks, below each graph.

Problem 84

Problem 85

Problem 87

Problem 88

Problem 89

Problem 90

Problem 91

Problem 92

Problem 93

Let f(x) = x² − x + 4 and g(x) = 3x – 5. Find g (1) and f(g(1)).

Problem 95

Let f and g be defined by the following table: Find $\sqrt{f (- 1) - f (0)} - [g (2)]^{2} + f (- 2) \div g (2) \cdot g (- 1) .$

Problem 134

Simplify: $2 (x + h)^{2} + 3 (x + h) + 5 - (2 x^{2} + 3 x + 5)$ .

Section 2.3

Problem 1

Find the slope of the line passing through each pair of points or state that the slope is undefined. Then indicate whether the line through the points rises, falls, is horizontal, or is vertical. (4, 7) and (8, 10)

Problem 3

Problem 6

Problem 11

Use the given conditions to write an equation for each line in point-slope form and slope-intercept form. Slope = 2, passing through (3, 5)

Problem 24

Use the given conditions to write an equation for each line in point-slope form and slope-intercept form. Slope = - 3/5, passing through (10, −4)

Problem 28

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)

Problem 30

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)

Problem 32

Use the given conditions to write an equation for each line in point-slope form and slope-intercept form. Passing through (−3, 6) and (3, −2)

Problem 37

Use the given conditions to write an equation for each line in point-slope form and slope-intercept form. x-intercept = -1/2 and y-intercept = 4

Problem 41

In Exercises 39–48, give the slope and y-intercept of each line whose equation is given. Then graph the linear function. f(x) = -2x+1

Problem 43

Give the slope and y-intercept of each line whose equation is given. Then graph the linear function. f(x) = (3/4)x-2

Problem 46

Give the slope and y-intercept of each line whose equation is given. Then graph the linear function. y = -2x/5+6

Problem 49

Graph each equation in a rectangular coordinate system. y = -2

Problem 57

Graph each equation in a rectangular coordinate system. 3x -18=0

Problem 60

In Exercises 59-66, a. Rewrite the given equation in slope-intercept form. b. Give the slope and y-intercept. c. Use the slope and y-intercept to graph the linear function. 4x+y-6=0

Problem 63

In Exercises 59-66, a. Rewrite the given equation in slope-intercept form. b. Give the slope and y-intercept. c. Use the slope and y-intercept to graph the linear function. 8x – 4y – 12 =0

Problem 68

Use intercepts to graph each equation. 6x-9y-18 = 0