Question 1

Given the table showing the time (in seconds) and height (in meters) of a rock thrown on the Moon, what is the domain of the relation represented by the table?

Accepted Answer

$$\{0, 1, 2, 2.5, 3, 4, 5\}$$

Question 2

Which of the following best describes the relation shown in the mapping diagram of time (in seconds) to height (in meters) for the Moon rock experiment?

Accepted Answer

A mapping description of a relation

Question 3

Which of the following equations represents a function?

Accepted Answer

$$y = x^3$

Question 4

Consider the mapping diagram where each person is mapped to their birthday. Is this relation a function?

Accepted Answer

Yes, because each person has exactly one birthday.

Question 5

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

Accepted Answer

$$4$$

Question 6

Which of the following is the parent function for $$g(x) = 2x^2$ - 1$$?

Accepted Answer

$$f(x) = x^2$

Question 7

What is the domain of the function $$f(x) = \frac{x+2}{x-4}$$?

Accepted Answer

$$(-\infty, 4) \cup (4, \infty)$$

Question 8

Which transformation describes the graph of $$g(x) = |x| + 5$$ compared to its parent function?

Accepted Answer

Shifted 5 units up

Question 9

Given the graph of $$y = x^2$, which of the following statements is true?

Accepted Answer

The function is increasing for $$x \u003e 0$$

Question 10

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

Accepted Answer

$$[1, \infty)$$

Question 11

Which of the following graphs represents a function that is NOT a function?

Accepted Answer

A circle, such as $$x^2$$ + $$y^2 = 1$

Question 12

If $$f(x) = \sqrt{x+2}$$, what is $$f(2)$$?

Accepted Answer

$$2$$

Question 13

Which of the following describes a vertical stretch of the parent function $$f(x) = x^2$ by a factor of 3?

Accepted Answer

$$f(x) = 3x^2$

Question 14

Given the function $$f(x) = \frac{x+3}{x+4}$$, what value of $$x$$ makes $$f(x)$$ undefined?

Accepted Answer

$$x = -4$$

Question 15

Which of the following is the range of the parent function $$f(x) = |x|$$?

Accepted Answer

$$[0, \infty)$$

Question 16

If $$f(x) = x^2$ - 4$$, what is the $$y-$$intercept of the function?

Accepted Answer

$$(0, -4)$$

Question 17

Which transformation results in a reflection of the graph of $$y = f(x)$$ over the $$y-$$axis?

Accepted Answer

$$y = f(-x)$$

Question 18

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

Accepted Answer

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

Question 19

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

Accepted Answer

$$[0, \infty)$$

College Algebra: Functions – Definitions, Properties, and Graphs

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