Pre-Calc Cumulative Review I

Given the functions below, find  $\left(f+g\right)\left(k-3\right)$  . 
 $f\left(x\right)=5x+2\$  &   $g\left(x\right)=9-x^2$  

•  $-k^2-k-21$  
  

•  $-k^2-k-13$  

•  $-k^2+11k-13$  

•  $-k^2+11k-21$  

Tags

CCSS.HSF-BF.A.1B

 Given the functions below, find $\left(f\circ g\right)\left(8\right)$   .
 $f\left(x\right)=x^3-5x$  &  $g\left(x\right)=x+2$  

• 896

• 924

• 950

• 978

Tags

CCSS.HSF-BF.A.1C

Which characteristic incorrectly describes the function below?  $f\left(x\right)=2x\left(x-4\right)^3\left(x+6\right)^2$  .

•  $f\left(x\right)$   intersects the  $x-axis$   at  $x=4$  

•  $f\left(x\right)$  is tangent to the  $x-axis$  at  $x=-6$  

•  $f\left(x\right)$  has exactly two x-intercepts

• The left side of the graph of  $f\left(x\right)$    is going up 

Tags

CCSS.HSA.APR.B.3

Which characteristics describe the function shown on the graph?

• The degree of  $f\left(x\right)$   is odd and the multiplicity of the zero at  $x=a$  is odd. 

• The degree of  $f\left(x\right)$  is odd and the multiplicity of the zero at  $x=a$  is even. 

• The leading coefficient of  $f\left(x\right)$  is positive and the multiplicity of the zero at  $x=a$  is odd. 

• The leading coefficient of  $f\left(x\right)$  is negative and the multiplicity of the zero at  $x=a$  is even.

 Evaluate the remainder obtained by dividing $2x^4-7x^3-2x-4$ by  $x-2$  .

• -14

• 10

• -32

• 18

Tags

CCSS.HSA.APR.B.2

Which binomial is a factor of the function given below? $f\left(x\right)=x^4-7x^3+5x^2+31x-30$  

•  $\left(x+3\right)$  

•  $\left(x+5\right)$  

•  $\left(x-1\right)$  

•  $\left(x-2\right)$  

Tags

CCSS.HSA.APR.B.2

Which is not a possible rational zero of the polynomial function given below?
 $f\left(x\right)=8x^3-42x^2+37x+12$  

•  $6$  

•  $-\frac{3}{8}$  

•  $-8$  

•  $\frac{1}{4}$  

Find all the zeros of the function below.  $f\left(x\right)=x^3+3x^2-10x-24$  

•  $\left\{-3,\ 2,\ 4\right\}$  

•  $\left\{-6,\ -3,\ -2\right\}$  

•  $\left\{-4,\ 2,\ 6\right\}$  

•  $\left\{-4,\ -2,\ 3\right\}$  

Tags

CCSS.HSF-IF.C.7C

Find the absolute value of the complex number below. $z=5+6i$  

•  $\sqrt{11}$  

•  $11$  

•  $\sqrt{61}$  

•  $61$  

Tags

CCSS.HSN.CN.B.6

Find the absolute value of the complex number below.  $z=-2-4i$  

•  $2\sqrt{5}$  

•  $2\sqrt{3}$  

•  $20$  

•  $12$