Unit 2 Lesson 9

Match the polynomial with its end behavior.
A.  $f\left(x\right)=-2x+3$  
B.  $f\left(x\right)=x^2-6x+3$  
C.  $f\left(x\right)=1-x^2+2x^3$  
D.  $f\left(x\right)=7-x^4$  
1. As x gets larger and larger in either the positive or negative direction,  $f\left(x\right)$  gets larger and larger in the positive direction.
2. As x gets larger and larger in the positive direction,  $f\left(x\right)$  gets larger and larger in the positive direction. As x gets larger and larger in the negative direction,  $f\left(x\right)$  gets larger and larger in the negative direction.
3. As x gets larger and larger in the positive direction,  $f\left(x\right)$  gets larger and larger in the negative direction. As x gets larger and larger in the negative direction,  $f\left(x\right)$  gets larger and larger in the positive direction.
4. As x gets larger and larger in either the positive or negative direction,  $f\left(x\right)$  gets larger and larger in the negative direction.

Write your solution in the form Letter#.

State the degree and end behavior of $f\left(x\right)=-x^3+5x^2+6x+1.$  Explain your reasoning.

The graph of a polynomial function $f$  is shown. Select all the true statements about the polynomial.

• The degree of the polynomial is even.
  

• The degree of the polynomial is odd.

• The leading coefficient is positive.
  

• The leading coefficient is negative.

• The constant term of the polynomial is positive.

Write the sum of $5x^2+2x-10$  and  $2x^2+6$  as a polynomial in standard form. Use ^ to represent anything in the exponent.

 State the degree and end behavior of $f\left(x\right)=4x^3+3x^5-x^2-2.$ Explain your reasoning.

Select all the polynomial functions whose graphs have x-intercepts at $x=4,\ \frac{1}{4},\ -2.$  

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