Question 1

Which of the following is the correct domain for the function $$f(x) = \sqrt{x-2}$$?

Accepted Answer

$$[2, \infty)$$

Question 2

Given the function $$f(x) = \frac{1}{x+3}$$, which value of $$x$$ makes the function undefined?

Accepted Answer

$$x = -3$$

Question 3

Which graph represents the function $$f(x) = x^2$ - 4$$?

Accepted Answer

A parabola opening upwards with vertex at $$(0, -4)$$

Question 4

What is the range of the function $$f(x) = x^2$?

Accepted Answer

$$[0, \infty)$$

Question 5

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

Accepted Answer

$$(x + 2)^2$

Question 6

Which of the following intervals represents the solution to $$|x - 3| \u003c 5$$?

Accepted Answer

$$(-2, 8)$$

Question 7

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

Accepted Answer

$$(-\infty, 0) \cup (0, \infty)$$

Question 8

Which of the following describes the transformation from $$f(x) = x^2$ to g(x$$) = $$(x-2)^2 + 3$?

Accepted Answer

Right 2 units, up 3 units

Question 9

Solve for $$x$$: $$\sqrt{x+1} = 4.$$

Accepted Answer

$$x = 15$$

Question 10

Which of the following is the correct interval notation for all real numbers except $$x = 2$$?

Accepted Answer

$$(-\infty, 2) \cup (2, \infty)$$

Question 11

If $$f(x) = x^2$ and g(x) = 2x$, what is f(g(3$$))$$?

Accepted Answer

$$36$$

Question 12

Which of the following is the solution set for $$x^2 - 9 = 0$?

Accepted Answer

$$\{-3, 3\}$$

Question 13

What is the range of the function $$f(x) = \sqrt{x}$$?

Accepted Answer

$$[0, \infty)$$

Question 14

Which of the following is the correct solution to $$|2x - 1| = 5$$?

Accepted Answer

$$x = 3, x = -2$$

Question 15

If $$f(x) = x^2$ - 4x + 3$$, what are the zeros of the function?

Accepted Answer

$$x = 1, x = 3$$

Precalculus Study Guide: Trigonometric Functions and Graphs

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