Question 1

Given the graph of $y = f(x)$ shown, which of the following intervals describes where the function is increasing?

Accepted Answer

$(-2, 0)$

Question 2

Based on the graph of $y = f(x)$, what is the $y$-intercept of the function?

Accepted Answer

$(0, 1)$

Question 3

Which of the following is the correct set of $x$-intercepts for the function $y = f(x)$ as shown in the graph?

Accepted Answer

$x = -3, x = 1, x = 2$

Question 4

Determine $f(-2)$ using the graph of $y = f(x)$.

Accepted Answer

$f(-2) = 0$

Question 5

For which value of $x$ does $f(x) = -1$ according to the graph?

Accepted Answer

$x = 1$

Question 6

Which interval describes where the function $f(x)$ is decreasing?

Accepted Answer

$(-\infty, -2)$

Question 7

What is the range of the function $f(x)$ as shown in the graph?

Accepted Answer

$[-2, 2]$

Question 8

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

Accepted Answer

$f(x)$ has a maximum value at $x = -2$

Question 9

Suppose the graph of $y = f(x)$ models the height (in meters) of a ball thrown into the air as a function of time $x$ (in seconds). At what time does the ball reach its maximum height?

Accepted Answer

$x = -2$

Question 10

Which of the following best describes the end behavior of $f(x)$ as $x 	o \infty$?

Accepted Answer

$f(x) 	o -\infty$

Question 11

If $f(x)$ represents the profit (in dollars) of a company as a function of the number of products sold $x$, for which value of $x$ does the company break even?

Accepted Answer

$x = -3$

Question 12

Which of the following intervals describes where $f(x)$ is negative?

Accepted Answer

$(1, 2)$

Analyzing Functions Using Graphs: College Algebra Review

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