Midterm Review Honors Math 3 Day 2

Given

 $f\left(x\right)=3x^3-2x+k,$  and x + 2 is a factor of f(x), then what is the value of k?

• -20

• -8

• 8

• 20

Identify the solution region for the system of inequalities.

 $y\ge\frac{1}{3}\left|x-2\right|$  
 $y<\left|x+2\right|+4$  

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Identify the smallest solution for f(x) = g(x)
 $f\left(x\right)=2x-3$  
 $g\left(x\right)=-\left(x-4\right)^2+5$  

• 1

• 2

• 4

• 5

Graph the piecewise function:

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• 

Given that f(x) is the absolute value parent function. Select all of the transformations for -f(x + 4) - 3.

• Reflection over x axis

• Reflection over y axis

• Left 4 units

• Right 4 units

• Down 3 units

Function A: $-4x^2-12x-5$  

Function B:  $-\left|x-4\right|+5$  

Compare the maximum value of function A to the maximum value of function B.  Select the option that best answers the sentence.

The maximum value of function A is _____________________ the maximum value of function B.

• less than

• the same as

• greater than

Evaluate:

5w(-1) + 4g(-2)

How does the green function compare to the red function. If the green function is f(x), use function notation to explain.

• $\frac{1}{4}f\left(x\right)$

• $-4f\left(x\right)$

• $4f\left(x\right)$

• $-\frac{1}{4}f\left(x\right)$

Are the graph and the table inverses?

• True

• False