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

Accepted Answer

$$8^0C$$

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

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