$$f(g(3)) = 2 \times (3 - 1) + 1 = 5$$

Question 1

Given the graph of the function $$f(x) = 2x + 1$$, which of the following points lies on the graph?

Accepted Answer

$$(1, 3)$$

Question 2

If the function $$f(x) = 2x + 1 is $$graphed, what is the slope of the line?

Accepted Answer

$$2$$

Question 3

What is the $$y-$$intercept of the function $$f(x) = 2x + 1$$?

Accepted Answer

$$1$$

Question 4

Which equation represents a line parallel to $$f(x) = 2x + 1$$?

Accepted Answer

$$y = 2x - 3$$

Question 5

If $$f(x) = 2x + 1$$, what is $$f(4)$$?

Accepted Answer

$$9$$

Question 6

A real-world scenario: A taxi charges a base fare of $$1 and 2 $$per mile. Which equation models the total fare $$y$$ for $$x$$ miles?

Accepted Answer

$$y = 2x + 1$$

Question 7

Given the points $$(0,1)$$ and $$(2,5)$$, what is the equation of the line passing through them?

Accepted Answer

$$y = 2x + 1$$

Question 8

If the line $$y = 2x + 1 is $$reflected over the $$y-$$axis, what is the equation of the new line?

Accepted Answer

$$y = -2x + 1$$

Question 9

Which of the following is the correct slope-intercept form for a line with slope $$m$$ and $$y-$$intercept $$b$$?

Accepted Answer

$$y = mx + b$$

Question 10

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

Accepted Answer

$$f(g(3)) = 2 	imes (3 - 1) + 1 = 5$$

Graphs and Functions: Introduction and Applications

Study Guide - Practice Questions