Question 1

Based on the graph provided, what is the x-intercept of the function?

Accepted Answer

$x = -4$

Question 2

What is the zero of the function as shown in the graph?

Accepted Answer

$x = -4$

Question 3

If the function represented by the graph is $f(x)$, which of the following statements is true?

Accepted Answer

$f(-4) = 0$

Question 4

Suppose the function in the graph models the profit (in thousands of dollars) for a company, where $x$ is the number of years since opening. In which year does the company break even?

Accepted Answer

At year $x = -4$

Question 5

Which of the following best describes the relationship between the x-intercept and the zero of the function for the given graph?

Accepted Answer

They are the same value, $x = -4$

Question 6

If the equation of the line is $y = mx + b$, and the line passes through the points $(-4, 0)$ and $(0, 8)$, what is the value of $m$?

Accepted Answer

$m = 2$

Question 7

Given the graph, what is the y-intercept of the function?

Accepted Answer

$y = 8$

Question 8

If the function models the temperature (in $^0$C) over time $x$ (in hours), what is the temperature at $x = 0$?

Accepted Answer

$8^0$C

Question 9

Which equation represents the function shown in the graph?

Accepted Answer

$y = 2x + 8$

Question 10

If the function $f(x)$ is given by $f(x) = 2x + 8$, for which value of $x$ does $f(x) = 0$?

Accepted Answer

$x = -4$

Question 11

A business uses the function $f(x) = 2x + 8$ to model its net income, where $x$ is the number of months since launch. After how many months will the business break even?

Accepted Answer

After $4$ months before launch ($x = -4$)

Finding the X-Intercept and Zero of a Function from a Graph

Study Guide - Practice Questions

Study Guide - Flashcards