Unit 7 Lesson 6: Analyzing Graphs of Polynomial Functions

Graph the function  $f\left(x\right)=x^3-5x^2+4x$ . Given that  $x=4$ is a zero of the function. Find the other real zeros. 

•  $x=0,\ x=4,\ x=1$  

•  $x=4,\ x=1$  

•  $x=0,\ x=-4,\ x=-1$  

•  $x=-4,\ x=-1$  

Graph the function  $f\left(x\right)=x^3-5x^2+4x$ . What is the maximum of this graph?

•  $\left(0.465,0.879\right)$  

•  $\left(2.869,-6.065\right)$  

•  $\left(1,0\right)$  

•  $\left(4,0\right)$   

Graph the function  $f\left(x\right)=x^3-5x^2+4x$ . What is the minimum of this graph?

•  $\left(0.465,0.879\right)$ 

•  $\left(2.869,-6.065\right)$  

•  $\left(1,0\right)$  

•  $\left(4,0\right)$   

Graph the polynomial function $f\left(x\right)=x^3-2x^2-5x+6$ .  Given that  $x=-2$ , find the other real zeros.

•  $\left(1,0\right)\left(3,0\right)$  

•  $\left(-1,0\right)\left(-3,0\right)$  

•  $\left(1,0\right)$  

•  $\left(3,0\right)$  

Tags

CCSS.HSF-IF.C.7C

Graph the polynomial function $f\left(x\right)=x^3-2x^2-5x+6$ . What is the maximum of this function? 

•  $\left(-0.786,8.209\right)$  

•  $\left(2.120,-4.061\right)$  

•  $\left(1,0\right)$  

•  $\left(3,0\right)$  

Graph the polynomial function $f\left(x\right)=x^3-2x^2-5x+6$ . What is the minimum of this function? 

•  $\left(-0.786,8.209\right)$  

•  $\left(2.120,-4.061\right)$  

•  $\left(1,0\right)$  

•  $\left(3,0\right)$  

Graph the polynomial function $f\left(x\right)=-2x^3+11x^2-10x-8$ . Given that  $x=4$  is a zero of the function, find the other real zeros.

•  $\left(-\frac{1}{2},0\right)\left(2,0\right)$  

•  $\left(\frac{1}{2},0\right)\left(-2,0\right)$  

•  $\left(-\frac{1}{2},0\right)\left(-2,0\right)$  

•  $\left(\frac{1}{2},0\right)\left(2,0\right)$  

Graph the polynomial function $f\left(x\right)=-2x^3+11x^2-10x-8$ . What is the maximum? 

•  $\left(3.135,7.138\right)$  

•  $\left(1.277,-7.000\right)$  

•  $\left(-\frac{1}{2},0\right)$  

•  $\left(2,0\right)$  

Graph the polynomial function $f\left(x\right)=-2x^3+11x^2-10x-8$ . What is the minimum? 

•  $\left(3.135,7.138\right)$  

•  $\left(1.277,-7.000\right)$  

•  $\left(-\frac{1}{2},0\right)$  

•  $\left(2,0\right)$  

Graph the polynomial function $f\left(x\right)=x^4+3x^3-10x^2-24x$ . Given that  $x=3$  is a zero of the function, find the other real zeros.

•  $\left(-4,0\right)\left(-2,0\right)\left(0,0\right)$  

•  $\left(4,0\right)\left(2,0\right)\left(0,0\right)$  

•  $\left(-4,0\right)\left(-2,0\right)$  

•  $\left(-2,0\right)\left(0,0\right)$