Question 1

Which of the following best defines the domain of a relation?

Accepted Answer

The set of all x-coordinates in the relation.

Question 2

Given the relation $$\{(4, 9), (−4, 9), (2, 3), (10, −5)\}$$, what is the range?

Accepted Answer

$$\{9, 3, −5\}$$

Question 3

Which of the following relations is NOT a function?

Accepted Answer

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

Question 4

A veterinarian is tracking the life spans of several animals. If the domain is $$\{	ext{Polar Bear, Cow, Chimpanzee, Giraffe, Gorilla, Kangaroo, Red Fox}\}$$ and the range is $$\{20, 15, 10, 7\}$$, which of the following is true?

Accepted Answer

Some animals share the same life span.

Question 5

Which statement about functions is correct?

Accepted Answer

A function can assign multiple x-values to the same y-value.

Question 6

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

Accepted Answer

A straight line with positive slope.

Question 7

Which equation represents a linear function?

Accepted Answer

$$y = 2x + 5$$

Question 8

Given $$f(x) = 4x - 1$$, what is $$f(2)$$?

Accepted Answer

$$7$$

Question 9

If $$g(x) = x^2$ + 6x + 2$$, what is $$g(-3)$$?

Accepted Answer

$$15$$

Question 10

Which of the following best describes the range of the function $$f(x) = 3x - 2$$ for all real numbers $$x$$?

Accepted Answer

$$(-\infty, \infty)$$

Question 11

A company charges a flat fee plus a rate per hour for consulting. If the cost function is $$C(x) = 50 + 30x$$, where $$x is $$the number of hours, what is the cost for 4 hours?

Accepted Answer

$$170$$

Question 12

Which of the following is NOT a function?

Accepted Answer

$$x = y^2$

Question 13

Given the function $$f(x) = 2x + 3$$, what is the y-intercept of its graph?

Accepted Answer

$$3$$

Question 14

If a graph fails the vertical line test, what does this indicate?

Accepted Answer

The graph is not a function.

Question 15

Which of the following best describes function notation?

Accepted Answer

$$f(x)$$ means the value of the function f at x.

Question 16

Given the graph of a function with domain $$[-2, 3]$$ and range $$[-4, 1]$$, which of the following points must be on the graph?

Accepted Answer

$$(0, 0)$$

Question 17

Which of the following real-life scenarios can be modeled by a function?

Accepted Answer

Assigning each person in a city to their birth date.

Question 18

If $$f(x) = 5x - 7$$, and $$f(a) = 8$$, what is the value of $$a$$?

Accepted Answer

$$3$$

Question 19

Which of the following statements is true about the graph of $$y = x$$?

Accepted Answer

It passes the vertical line test and is a function.

Question 20

A student claims that the relation $$\{(2, 5), (2, 7), (3, 8)\} is a $$function. Is the student correct?

Accepted Answer

No, because the x-value 2 is paired with two different y-values.

Graphs and Functions – Introduction to Functions (Intermediate Algebra, Ch. 3.2)

스터디 가이드 - 연습 문제

학습 가이드 - 플래시카드