Test Bank for Precalculus, 4th Edition(Young) Chapter 1-11
Chapter 1 1.1
Functions and Their Graphs
Functions
1) Classify the following relationship as a function or not a function. {(-17, 20), (17, 20), (-12, 20), (1, 20)} A) a function B) not a function C) don't know Answer: A Diff: 1 Var: 1 Chapter/Section: Ch 01, Sec 01 2) Classify the following relationship as a function or not a function. {(9, -18), (9, -2), (9, 15), (9, -3)} A) a function B) not a function C) don't know Answer: B Diff: 1 Var: 1 Chapter/Section: Ch 01, Sec 01 3) Classify the following relationship as a function or not a function. {(15, 10), (-10, -20), (-20, -16), (-14, 1), (-12, -14)} A) a function B) not a function C) don't know Answer: A Diff: 1 Var: 1 Chapter/Section: Ch 01, Sec 01 4) Classify the following relationship as a function or not a function. {(4, 10), (18, -2), (12, 2), (4, 16)} A) a function B) not a function C) don't know Answer: B Diff: 1 Var: 1 Chapter/Section: Ch 01, Sec 01
1
5) Determine if the equation x = A) a function B) not a function C) don't know Answer: A Diff: 1 Var: 1 Chapter/Section: Ch 01, Sec 01 6) Determine if the equation 8 + 4 A) a function B) not a function C) don't know Answer: B Diff: 1 Var: 1 Chapter/Section: Ch 01, Sec 01 7) Determine if the equation x = variable y. A) a function B) not a function C) don't know Answer: B Diff: 1 Var: 1 Chapter/Section: Ch 01, Sec 01
is a function.
= 4 is a function.
is a function with independent variable x and dependent
8) Given the function f (x) = 5x - 4, evaluate f (x + 10). A) 5x + 46 B) 5x - 46 C) 5 + 46 D) 5x + 6 Answer: A Diff: 2 Var: 1 Chapter/Section: Ch 01, Sec 01 9) Given the function f (x) = - 3x + 2, evaluate f (x) - f (6). A) - 3x + 18 B) - 3x - 20 C) - 3x - 18 D) x - 6 Answer: C Diff: 2 Var: 1 Chapter/Section: Ch 01, Sec 01
2
10) Given the function H(x) = 1 A) -4 B) -4 + 10x C) -24 + 7x D) -4 - x Answer: C Diff: 3 Var: 1 Chapter/Section: Ch 01, Sec 01
, evaluate H(x - 5).
11) Given the function G(x) = 6 - 4x, evaluate G(4x + 2). A) -16 + 16x + 12 B) -16 + 2 C) -16x - 14 D) -16x - 2 Answer: D Diff: 2 Var: 1 Chapter/Section: Ch 01, Sec 01 12) Given the function G(x) = -7 - 6x, evaluate G(4). A) 17 B) 31 C) -31 D) 4x - 7 Answer: C Diff: 1 Var: 1 Chapter/Section: Ch 01, Sec 01 13) Given the function f (x) =
- 5x - 15, evaluate
A) 2x + h - 5 B) C) 2x + h + 5 D) 1 Answer: A Diff: 3 Var: 1 Chapter/Section: Ch 01, Sec 01
3
.
14) Given the function f (x) = -7 - 5x, evaluate
.
A) 5 B) -5 C) D) 1 Answer: B Diff: 3 Var: 1 Chapter/Section: Ch 01, Sec 01 15) Given the function G(t) =
- 7t + 3, evaluate
.
A) h + 17 B) h - 17 C) h D) h - 12 Answer: B Diff: 3 Var: 1 Chapter/Section: Ch 01, Sec 01 16) Given the function G(t) =
, state the domain in interval notation.
A) [10, ∞) B) (-∞, 10) ∪ (10, ∞) C) (-∞, ∞) D) (-∞, -10) ∪ (10, ∞) Answer: B Diff: 1 Var: 1 Chapter/Section: Ch 01, Sec 01 17) Given the function f (x) =
, state the domain in interval notation.
A) (-∞, -8] ∪ [8, ∞) B) (-∞, -8) ∪ (8, ∞) C) [-8, 8] D) (-∞, -64] ∪ [64, ∞) Answer: A Diff: 2 Var: 1 Chapter/Section: Ch 01, Sec 01
4
18) Given the function h(t) =
, state the domain in interval notation.
A) (-∞, 8] B) (8, ∞) C) (-∞, ∞) D) (-∞, 8) Answer: D Diff: 2 Var: 1 Chapter/Section: Ch 01, Sec 01 19) Determine if the equation 11x2 + 18 Answer: Not a function Diff: 1 Var: 1 Chapter/Section: Ch 01, Sec 01 20) Given the function G(t) = Answer: [-6, 6] Diff: 2 Var: 1 Chapter/Section: Ch 01, Sec 01
= 10 is a function of x.
, state the domain in interval notation.
21) A projectile is fired straight up from an initial height of 230 feet, and its height is a function of time, h(t) = -16 + 128t + 230 where h is the height in feet and t is the time in second with t = 0 corresponding to the instant it launches. What is the height 4 seconds after launch? Answer: 486 feet Diff: 2 Var: 1 Chapter/Section: Ch 01, Sec 01 22) Use the given graph to evaluate the functions. y = r(x)
a. r(-4) b. r(-3) Answer: a. -36 b. -8 Diff: 2 Var: 1 Chapter/Section: Ch 01, Sec 01 5