Question 1

Which of the following sets of ordered pairs represents a function?

Accepted Answer

$$\{(1,2), (2,3), (3,4), (4,5)\}$$

Question 2

Given the function $$f(x) = x^2$ - 2x + 1$$, what is $$f(-2)$$?

Accepted Answer

$$9$$

Question 3

Which graph passes the vertical line test and therefore represents a function?

Accepted Answer

A graph where every vertical line intersects the curve at exactly one point.

Question 4

What is the domain of the function $$f(x) = \sqrt{x-3} in $$interval notation?

Accepted Answer

$$[3, \infty)$$

Question 5

If $$f(x) = 2x + 5$$, what is $$f(y) in $$terms of $$y$$?

Accepted Answer

$$2y + 5$$

Question 6

Which of the following interval notations represents all real numbers except $$x=0$$?

Accepted Answer

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

Question 7

Given $$f(x) = |x-2|$$, what is $$f(5)$$?

Accepted Answer

$$3$$

Question 8

Which of the following describes the range of $$f(x) = x^2$?

Accepted Answer

$$[0, \infty)$$

Question 9

A hospital uses the function $$f(x) = 100 - 2x to $$model the number of doses left after $$x$$ hours. What is the domain of $$f(x) if $$doses cannot be negative?

Accepted Answer

$$[0, 50]$$

Question 10

Which of the following is NOT a function?

Accepted Answer

$$f(x) = \pm x$$

Question 11

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

Accepted Answer

$$9$$

Question 12

Which interval notation correctly represents $$x \geq 4$$?

Accepted Answer

$$[4, \infty)$$

Question 13

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

Accepted Answer

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

Question 14

A chemical reaction rate is modeled by $$f(t) = \sqrt{t}$$, where $$t is $$time in seconds. What is the domain of $$f$$?

Accepted Answer

$$[0, \infty)$$

Question 15

Given $$f(x) = x^2$ - 4x + 3$$, find $$f(2).$$

Accepted Answer

$$-1$$

Question 16

Which of the following is the correct interval notation for $$-2 \u003c x \leq 5$$?

Accepted Answer

$$(-2, 5]$$

Question 17

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

Accepted Answer

$$36$$

Question 18

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

Accepted Answer

$$[0, \infty)$$

Question 19

A medication's effectiveness is modeled by $$f(t) = 100 - t^2$ for t$$ \geq 0$$. What is the range of f$?

Accepted Answer

$$[0, 100]$$

Question 20

Which of the following is the correct interval notation for $$x \u003c 3$$?

Accepted Answer

$$(-\infty, 3)$$

Functions, Domain, and Range: Precalculus Study Notes

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