Question 1

Which of the following relations is NOT a function?

Accepted Answer

The set $$\{(1,2), (1,3), (2,4)\}$$

Question 2

Given the function $$f(x) = x^2$ - 3x + 2$$, what is $$f(4)$$?

Accepted Answer

$$6$$

Question 3

Which equation represents a function?

Accepted Answer

$$y = \sqrt{x}$$

Question 4

A function $$g is $$defined by $$g(x) = 2x + 5. $$What is $$g(-3)$$?

Accepted Answer

$$-11$$

Question 5

Given the graph of $$f(x)$$, which of the following statements is TRUE about the domain?

Accepted Answer

The domain is $$x \geq 0$$

Question 6

Which of the following functions is even?

Accepted Answer

$$f(x) = x^2$

Question 7

If $$f(x) = x^2$ and g(x) = x + 1$, what is (f + g)(2$$)$$?

Accepted Answer

$$7$$

Question 8

Which transformation describes the graph of $$y = f(x - 3) + 2$$ compared to $$y = f(x)$$?

Accepted Answer

Shift right 3 units and up 2 units

Question 9

What is the domain of $$f(x) = \frac{1}{x-4}$$?

Accepted Answer

All real numbers except $$x = 4$$

Question 10

If $$f(x) = \sqrt{x}$$ and $$g(x) = x - 2$$, what is the domain of $$(f \circ g)(x)$$?

Accepted Answer

$$x \geq 2$$

Question 11

Given $$f(x) = 3x - 1$$ and $$g(x) = x^2$, what is (f$$ \circ g)(2)$$?

Accepted Answer

$$11$$

Question 12

Which function has an inverse?

Accepted Answer

$$f(x) = x^3$

Question 13

If $$f(x) = 2x + 5$$, what is the inverse function $$f^{-1}(x$$)$$?

Accepted Answer

$$f^{-1}(x$$) = \frac{x - 5}{2}$$

Question 14

A function $$h(x) is $$decreasing on the interval $$[1, 3]. $$Which statement is TRUE?

Accepted Answer

For all $$x_1  h$$($$x_2$$)$$

Question 15

If $$f(x) = x^2$ and g(x$$) = \sqrt{x}$$, write h(x) = f(g(x$$))$$ as a composition.

Accepted Answer

$$h(x) = x$$

Question 16

Which of the following is the range of $$f(x) = \sqrt{x}$$?

Accepted Answer

$$[0, \infty)$$

Question 17

A company models its profit with $$P(x) = -2x^2$ + 8x + 10$$, where $$x is $$the number of units sold. What is the maximum profit?

Accepted Answer

$$26$$

Question 18

Which function is odd?

Accepted Answer

$$f(x) = x^3$

Question 19

If $$f(x) = \frac{1}{x}$$, what is the domain of $$f$$?

Accepted Answer

All real numbers except $$x = 0$$

Precalculus Study Guide: Functions, Graphs, and Transformations (Chapters 2 & 3)

스터디 가이드 - 연습 문제