Quiz about HAA Zeros and End Behavior

Question 1

Which graph correctly shows where the ends of the function $$f\left(x\right)=-\left(x^2-9\right)\left(x+4\right)$$ will be?

Accepted Answer

Question 2

Select all zeros (x-intercepts) of the function $$f\left(x\right)=-\left(x^2-9\right)\left(x+4\right)$$

Accepted Answer

x = 3

Accepted Answer

x = -3

Accepted Answer

x = -4

Answer

x = 9

Answer

x = -9

Question 3

Which of the following could be a possible equation of the polynomial shown?

Accepted Answer

$$f\left(x\right)=\left(x-3\right)\left(x+2\right)\left(x-5\right)$$

Answer

$$f\left(x\right)=-2\left(x-3\right)\left(x+2\right)\left(x-5\right)$$

Answer

$$f\left(x\right)=x\left(x+3\right)\left(x-2\right)\left(x+5\right)$$

Answer

$$f\left(x\right)=-x^3+5x^2+4x+6$$

Question 4

f(x) = (x+2)(x-3)²(x-4)

Which choice best describes the zeros?

Accepted Answer

-2, 3 (multiplicity 2), 4

Answer

-2 (multiplicity 2), 3, 4

Answer

2, -3 (multiplicity 2), -4

Answer

2 (multiplicity 2), -3, -4

Question 5

According to the Fundamental Theorem of Algebra, how many zeros does the polynomial function $$f\left(x\right)=3x^4+4x^{2\ }+8$$ have?

Accepted Answer

4

Answer

2

Answer

3

Answer

6

Question 6

Which function has zeros: $$x=0$$ , $$x=5$$ (multiplicity of 3) and $$x=-6$$ .

Accepted Answer

$$f(x)=-7x(x-5)^3(x+6)$$

Answer

$$f(x)=9x(x+5)^3(x-6)$$

Answer

$$f(x)=3(x-5)^3(x+6)$$

Answer

$$f(x)=(x-3)(x-5)(x+6)$$

HAA Zeros and End Behavior