Graphs of Polynomial Functions

Choose the best equation to match the graph. 

• $y=\left(x-2\right)\left(x-4\right)\left(x-8\right)$

• $y=-\left(x-2\right)\left(x-4\right)\left(x-8\right)$

• $y=\left(x+2\right)\left(x+4\right)\left(x+8\right)$

• $y=-\left(x+2\right)\left(x+4\right)\left(x+8\right)$

Tags

CCSS.HSA.APR.B.3

• $y=x^2\left(x-6\right)$

• $y=x\left(x-6\right)$

• $y=\left(x-6\right)^2$

• $y=x\left(x+6\right)$

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

Which of the following could NOT represent the function above?

• $y=\left(x+3\right)\left(x^2-4\right)$

• $y=\left(x+3\right)\left(x^2+4\right)$

• $y=\left(x+3\right)\left(x^2+x+1\right)$

• $y=\left(x+3\right)\left(x^2+2x+2\right)$

Tags

CCSS.HSA.APR.B.3

• $y=-\left(x^2+64\right)\left(x+2\right)$

• $y=\left(x^2+64\right)\left(x+2\right)$

• $y=\left(x^2-64\right)\left(x+2\right)$

• $y=-\left(x^2-64\right)\left(x+2\right)$

Tags

CCSS.HSA.APR.B.3

•  $y=-20\left(x+2\right)^2\left(x-5\right)$  

•  $y=-20\left(x+2\right)\left(x-5\right)$  

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

•  $y=\left(x+2\right)\left(x-5\right)$  

Tags

CCSS.HSA.APR.B.3

• $y=\left(x+5\right)\left(x+2\right)$

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

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

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

Tags

CCSS.HSA.APR.B.3

Determine the equation of the graph above. Do not use spaces.

(a)  

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

• $y=\left(x+2\right)\left(x-1\right)^2$

• $y=-\left(x+2\right)^2\left(x-1\right)$

• $y=\left(x+2\right)^2\left(x-1\right)$

• $y=-\left(x+2\right)\left(x-1\right)^2$

Tags

CCSS.HSA.APR.B.3

The number line above tracks where a function's y-value is positive or negative. Which of the following could be the equation of the function represented above?

• $y=\left(x+3\right)\left(x+1\right)\left(x-1\right)$

• $y=-\left(x+3\right)\left(x+1\right)\left(x-1\right)$

• $y=\left(x+3\right)^2\left(x+1\right)\left(x-1\right)$

• $y=-\left(x+3\right)^2\left(x^2-1\right)$

Tags

CCSS.HSA.APR.B.3

What are the x-intercepts of the function $f\left(x\right)=36x^3−49x$  ? Check all that apply. 

• 7

• -7

• 0

•  $\frac{7}{6}$  

•  $-\frac{7}{6}$  

Tags

CCSS.HSF-IF.C.7C