Lesson 46 Quiz

Solve  $\left(x+5\right)\left(x-2\right)\left(3x-4\right)=0$  

•  $x=-5,\ 2,\ \frac{4}{3}$  

•  $x=5,\ -2,-4$  

•  $x=5,\ -2,\ -\frac{4}{3}$  

•  $x=-5,\ 2,\ \frac{3}{4}$  

Solve  $x^3-5x^2=3x-15$  

•  $x=5,\ \pm\sqrt{3}$  

•  $x=-5,\ \sqrt{3}$  

•  $x=5$  

•  $no\ solution$  

Solve  $x^4-2x^3-15x^2+32x-16=0$  

•  $x=\pm4$  

•  $x=1,\ 4$  

•  $x=\pm4,\ 1\ \left(mult.\ of\ 2\right)$  

•  $x=1,\ 4,\ \pm2$  

Solve

 $x^3-4x^2-37x+138=0$  

•  $x=\pm6,\ 3$  

•  $x=-6$  

•  $\left(0,\ 138\right)$  

•  $x=-6,\ 6.414,\ 3.586$  

Find the x and y intercepts of the function:  $f\left(x\right)=x^4+x^3-31x^2+25x-1400$  

•  $\left(-8,\ 0\right)\ and\ \left(7,\ 0\right)$  

•  $\left(-8,\ 0\right)\ \left(7,\ 0\right)\ and\ \left(0,\ -1400\right)$  

•  $\left(0,\ -1400\right)$  

•  $\left(-8,\ 0\right)\ \left(7,\ 0\right)\ \left(0,\ 0\right)\ and\ \left(0,\ -1400\right)$  

Describe the transformation of the graph from

 $f\left(x\right)=x^3$  to the graph of  $g\left(x\right)=5\left(x-1\right)^3+8$  

• left 1 and up 8

• right 1, vertical compression by factor of 1/5, and up 8

• right 1, vertical stretch by factor of 5, and up 8

• left 1, vertical stretch by factor of 8, and up 5

 Describe the transformation of the graph of $f\left(x\right)=x^4$ to the graph of  $g\left(x\right)=-\left(x+3\right)^4-\frac{1}{2}$  

• reflect over x-axis, left 3, and down 1/2

• down 1, right 3, and vertical compression by factor of 1/2

• left 3 and down 1/2

• reflect over x-axis, right 3, and down 1/2

 Find a polynomial function with x-intercepts of $-5\ and\ \sqrt{6}$ .

•  $f\left(x\right)=\left(x-25\right)\left(x+6\right)$  

•  $f\left(x\right)=\left(x+5\right)\left(x^2+6\right)$  

•  $f\left(x\right)=\left(x+5\right)\left(x^2-6\right)$  

•  $f\left(x\right)=\left(x-5\right)\left(x^2-6\right)$  

 Find the relative maximum of the function $f\left(x\right)=x^3+3x^2-4x-12$ 

•  $\left(-2.53,\ 1.13\right)$  

•  $\left(0,\ -12\right)$  

•  $\left(.528,\ -13.128\right)$  

•  $x=-3,\ \pm2$  

 Describe the end-behavior of  $f\left(x\right)=x^3+3x^2-4x-12$  

•  $left\ \rightarrow\infty,\ right\ \rightarrow\infty$  

•  $left\ \rightarrow\infty,\ right\rightarrow-\infty$  

•  $left\ \rightarrow-\infty,\ right\ \rightarrow-\infty$  

•  $left\ \rightarrow-\infty,\ right\ \rightarrow\infty$