Chapters 6-8 Review for Semester 2 Final Exam

What is the vertex of y = 3x² - 60x + 42?

• (-20,2442)

• (-10,942)

• (10,-258)

• (20,42)

The end behavior of this polynomial is...

f(x) = -3x⁴ + 2x³ - 5x² + 7x - 8

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If f(x) = 3x - 7 and g(x) = 2x + 12, find g(f(x)).

• 5x+5

• 6x-2

• 6x-14

• 6x+29

What is the vertex of this quadratic?

y = 3(x-7)² + 4

• (3,-7)

• (-7,4)

• (7,4)

• (7,-4)

• (3,4)

Divide. You may use either long or synthetic division.
 $\left(7x^3-70x^2+72x-81\right)\div\left(x-9\right)$  

•  $7x^2-7x+9$  

•  $7x^2+7x+9$  

•  $7x^2-7x-9$  

•  $x^2-7x+9$  

•  $7x^2+7x-9$  

• 46

• 231

• 177

• 9

• 561

Solve using any method you'd like:

 $x^2-10x+49=0$  

•  $5\pm8i$  

•  $5\pm2i\sqrt{6}$  

•  $5\pm\sqrt{74}$  

•  $5\pm4\sqrt{6}$  

•  $5\pm8\sqrt{6}$  

 $f\left(x\right)=2x^4-8x^3+7x^2-9x+10$  

What are all the possible zeros of the polynomial above?

•  $\pm2,8,7,9,10$  

•  $\pm1,2,\frac{1}{2},\frac{1}{5},\frac{1}{10},\frac{2}{5}$  

•  $\pm1,2,5,10$  

•  $\pm1,2,5,10,\frac{1}{2},\frac{5}{2}$  

 $f\left(x\right)=\frac{1}{3}x\ -\ 8$  

What is the inverse of this function?

•  $f^{-1}\left(x\right)=3x+8$  

•  $f^{-1}\left(x\right)=3x+24$  

•  $f^{-1}\left(x\right)=\frac{1}{3}x+8$  

•  $f^{-1}\left(x\right)=\frac{1}{3}x+24$  

•  $f^{-1}\left(x\right)=3x-24$  

What are the zeros of this function?

• (-3,0) and (-5,0)

• (3,0) and (5,0)

• (-8,0) and (-15,0)

• (-3,-5)

• (-4,1)