Functions Test Review

Which of the following is the graph of f(x) = 3|x-4|+1?

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The table shows three unique, discrete functions. Which statements can be used to accurately compare the functions? Select TWO options.

• g(x) has the lowest minimum.

• f(x) has the greatest maximum.

• All three functions have a y-intercept.

• All three functions have an x-intercept.

• The domain of all 3 functions is the same.

The graphs of 3 functions are shown. Which statement accurately compares the functions on the graph?

• All of the functions have a maximum.

• All of the functions have the same domain.

• The square root and quadratic function share a minimum.

• The absolute value and quadratic function share a y-intercept.

• The absolute value and square root function share an x-intercept.

Which statement is true about?

 $f\left(x\right)=\frac{1}{6}\left|x-3\right|-2$  

• The graph of f(x) has a vertex of (-3,2)

• The graph of f(x) is a horizontal compression of the graph of the parent function.
  

• The graph of f(x) opens dowward.

• The graph of f(x) has a range of  $f\left(x\right)\ge-2$  

Consider the functions below.

 $f\left(x\right)=\left(x+1\right)^2-4$  
 $g\left(x\right)=-4\left|x+1\right|$  
Which statement compares the ranges of the functions? 

• The ranges of both f(x) and g(x) are limited to  $y\ge-1$  

• The ranges of both f(x) and g(x) are limited to  $y\le-1$  

• Since the range of f(x) is limited to  $y\le0$  and the range of g(x) is limited to  $y\ge-4$  , the ranges overlap for the values  $-4\le y\le0$  

• Since the range of f(x) is limited to  $y\ge-4$  and the range of g(x) is limited to  $y\le0$  , the ranges overlap for the values  $-4\le y\le0$  

Given the function $f\left(x\right)=-5\left|x+1\right|+3$  , for what values of x if f(x) = -12?

• x = -2, x = -4

• x = -2, x = 4

• x = 2, x = -4

• x = 2, x = 4

Which functions has a maximum with the same value as $f\left(x\right)=-\left|x+3\right|-2$  

•  $f\left(x\right)=\sqrt{x+3}-3$  

•  $f\left(x\right)=\left(x+3\right)^2-2$  

•  $f\left(x\right)=-\sqrt{x+6}-2$  

•  $f\left(x\right)=-\left(x-6\right)^2-3$  

Which is the graph of $f\left(x\right)=\left|x_{ }\right|$  reflected across the x-axis, translated 3 units left, 4 units up and dilated by a factor of 4? 

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What is f(-5) ?

What is f(-2) ?