Polynomial Functions and Equations

 Which of the following functions are polynomials

•  $y=3+\sqrt{x}$  

•  $y=2^x$  

•  $y=2x^{-4}-3x^2-5x$  

•  $y=x^3+6x^2-x+7$  

Does this graph represent an odd or even degree function? Explain your choice

This graph represents a function with a degree of ________

Which graphs represent a function with a leading coefficient that is negative?

• 
• 
• 
• 

 $y=3x^4-2x-5$  

How many x-intercepts could this function have?

__________

What does a factor tell you about about a polynomial function

• Where the y-intercepts of the function are

• Where the x-intercepts of the function are

Tags

CCSS.HSF-IF.C.7C

 $y=-x^2-3x+1$  

Where will this function cross the y-axis?

• (-3,0)

• (1,0)

• (0,1)

• (0,-3)

Tags

CCSS.HSF-IF.C.7A

Tags

CCSS.HSA.APR.B.2

What is the fully factored form of this function?

 
 $x^3+2x^2-x-2$   
Enter answer like: (x + #)(x +  #)(x + #)

*make sure no extra spaces are added between numbers or brackets*

When a factor is squared that means __________

 $Example:\ \left(x+2\right)^2$  

• the graph crosses the x-axis.

• the graph approaches x-axis parallel and then crosses.

• the graph touches the x-axis but does not cross.

Tags

CCSS.HSF-IF.C.7A