Lesson 9 End Behavior Part 2

Lesson 9 End Behavior Part 2

Multiple Choice

Match the polynomial with its end behavior.

 $f\left(x\right)=-2x+3$  

• As x gets larger and larger in either the positive or negative direction, f(x) gets larger and larger in the positive direction.

• As x gets larger and larger in the positive direction, f(x) gets larger and larger in the positive direction. As x gets larger and larger in the negative direction, f(x) gets larger and larger in the negative direction.

• As x gets larger and larger in the positive direction, f(x) gets larger and larger in the negative direction. As x gets larger and larger in the negative direction, f(x) gets larger and larger in the positive direction.

• As x gets larger and larger in either the positive or negative direction, f(x) gets larger and larger in the negative direction.

Multiple Choice

Match the polynomial with its end behavior.

 $f\left(x\right)=x^2-6x+3$  

• As x gets larger and larger in either the positive or negative direction, f(x) gets larger and larger in the positive direction.

• As x gets larger and larger in the positive direction, f(x) gets larger and larger in the positive direction. As x gets larger and larger in the negative direction, f(x) gets larger and larger in the negative direction.

• As x gets larger and larger in the positive direction, f(x) gets larger and larger in the negative direction. As x gets larger and larger in the negative direction, f(x) gets larger and larger in the positive direction.

• As x gets larger and larger in either the positive or negative direction, f(x) gets larger and larger in the negative direction.

Multiple Choice

Match the polynomial with its end behavior.

 $f\left(x\right)=1-x^2+2x^3$  

• As x gets larger and larger in either the positive or negative direction, f(x) gets larger and larger in the positive direction.

• As x gets larger and larger in the positive direction, f(x) gets larger and larger in the positive direction. As x gets larger and larger in the negative direction, f(x) gets larger and larger in the negative direction.

• As x gets larger and larger in the positive direction, f(x) gets larger and larger in the negative direction. As x gets larger and larger in the negative direction, f(x) gets larger and larger in the positive direction.

• As x gets larger and larger in either the positive or negative direction, f(x) gets larger and larger in the negative direction.

Multiple Choice

Match the polynomial with its end behavior.

 $f\left(x\right)=7-x^4$  

• As x gets larger and larger in either the positive or negative direction, f(x) gets larger and larger in the positive direction.

• As x gets larger and larger in the positive direction, f(x) gets larger and larger in the positive direction. As x gets larger and larger in the negative direction, f(x) gets larger and larger in the negative direction.

• As x gets larger and larger in the positive direction, f(x) gets larger and larger in the negative direction. As x gets larger and larger in the negative direction, f(x) gets larger and larger in the positive direction.

• As x gets larger and larger in either the positive or negative direction, f(x) gets larger and larger in the negative direction.

Multiple Choice

State the degree and end behavior of the polynomial.

 $f\left(x\right)=-x^3+5x^2+6x+1$  

• The degree is -3.  As x decreases, y increases.  As x increases, y decreases.

• The degree is 4.  As x decreases, y decreases.  As x increases, y decreases.

• The degree is 3.  As x decreases, y increases.  As x increases, y decreases.

• The degree is 4.  As x decreases, y decreases.  As x increases, y increases.

Multiple Select

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.

Multiple Choice

Write the sum of the polynomials in standard form.

 $5x^2+2x-10$  and  $2x^2+6$  .

•  $7x^2+2x-4$  

•  $3x^2+2x-10$  

•  $3x^2-2x-16$  

•  $7x^2+10+16$  

Open Ended

 $f\left(x\right)=4x^3+3x^5-x^2-2$  

State the degree and end behavior of the polynomial.  Explain or show your reasoning.

Multiple Select

Select all polynomial functions whose graphs have x-intercepts at x=4, -1/4, -2.

• (x+4)(4x−1)(x−2)

• (x−4)(4x+1)(x+2)

• (x−4)(4x−1)(x−2)

• (4x−16)(4x+1)(x+2)