HAA Zeros and End Behavior

Match each polynomial function to the graph that correctly indicates its end behavior.

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?

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

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

Plot the x-intercepts of the function: $$f\left(x\right)=\left(2x-4\right)\left(x+4\right)\left(x+1\right)$$

For the function $$f\left(x\right)=\left(x-3\right)\left(x+1\right)\left(2x-5\right)$$ , the y-intercept is ​ ​ (a)   and the x-intercepts are ​ (b)   ​ (c)   ​ (d)   ​ .

Plot the x- and y- intercepts of the function

$$f\left(x\right)=-\frac{1}{4}\left(x-4\right)^2\left(x-1\right)\left(x+2\right)$$

f(x) = (x+2)(x-3)²(x-4)

Which choice best describes the zeros?

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

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