Question 1

Which of the following best describes the graph of a linear function?

Accepted Answer

A straight line

Question 2

Given the function $$f(x) = 2x + 3$$, what is the slope of the function?

Accepted Answer

$$2$$

Question 3

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

Accepted Answer

$$4$$

Question 4

Which of the following is NOT a function?

Accepted Answer

A vertical line $$x = 2$$

Question 5

What is the range of the function $$f(x) = x^2$ for x$$ \in [-2,2]$$?

Accepted Answer

$$[0,4]$$

Question 6

Given the points $$(1,2)$$ and $$(3,6)$$, what is the slope of the line passing through them?

Accepted Answer

$$2$$

Question 7

Which of the following equations represents a vertical line?

Accepted Answer

$$x = 5$$

Question 8

If $$f(x) = 3x - 2$$, what is $$f(-1)$$?

Accepted Answer

$$-5$$

Question 9

A function $$f(x) is $$defined as $$f(x) = x^2$ - 4x + 3. $$What is the value of $$f(2)$$?

Accepted Answer

$$-1$$

Question 10

Which of the following statements is true about the slope of a vertical line?

Accepted Answer

The slope is undefined

Question 11

If $$f(x) = 2x + 1$$ and $$g(x) = -x + 3$$, for which value of $$x do$$ $$f(x)$$ and $$g(x)$$ intersect?

Accepted Answer

$$x = \frac{2}{3}$$

Question 12

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

Accepted Answer

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

Question 13

Given the function $$f(x) = 4 - x$$, what is the $$x-$$intercept?

Accepted Answer

$$x = 4$$

Question 14

If the slope of a line is $$m = -3$$, which of the following lines is parallel to it?

Accepted Answer

$$y = -3x + 2$$

Question 15

A real-world scenario: A taxi company charges a base fare of $$\5$ plus $$\$$2$$ per mile. Which function models the total cost $$C$$ for $$x$$ miles?

Accepted Answer

$$C(x) = 2x + 5$$

Question 16

If $$f(x) = x + 2$$ and $$f(a) = 7$$, what is the value of $$a$$?

Accepted Answer

$$a = 5$$

Question 17

Which of the following is the correct formula for the slope $$m of a $$line passing through points $$(x_1$, y_1$)$$ and $$(x_2$, y_2$)$$?

Accepted Answer

$$m = \frac{y_2$ - y_1$}{x_2$ - x_1$}$$

Question 18

A function $$f(x) is $$defined as $$f(x) = 2x - 3. $$What is the value of $$x$$ when $$f(x) = 1$$?

Accepted Answer

$$x = 2$$

Question 19

Which of the following best describes the range of the function $$f(x) = x$$ for $$x \in [-3, 3]$$?

Accepted Answer

$$[-3, 3]$$

Question 20

If a function $$f(x) is $$such that $$f(0) = 2$$ and $$f(1) = 5$$, what is the slope of the line passing through these points?

Accepted Answer

$$3$$

Introduction to Functions and Linear Functions

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