Sketching Higher Order Polynomials

Does the graph show an EVEN or ODD degree polynomial?

Does the graph have a POSITIVE or NEGATIVE leading coefficient?

Does the graph show an EVEN or ODD degree polynomial?

Does the graph have a POSITIVE or NEGATIVE leading coefficient?

Does the graph show an EVEN or ODD degree polynomial?

Does the graph have a POSITIVE or NEGATIVE leading coefficient?

Which functions' graph would have a decreasing left end behavior and increasing right end behavior?

NOTE: There may be more than one correct answer.

Which of the function's graph would have a INCREASING left end behavior and INCREASING right end behavior?

Which graphs would have a NEGATIVE leading coefficient?

Select all the zeros (with multiplicities) of

$$f\left(x\right)=\left(x+2\right)\left(x-1\right)^2$$  

$$f\left(x\right)=\left(x+2\right)\left(x-1\right)^2$$  

From the last question, we know that f(x) has zeros at

x= -2 multiplicity 1 and x= 1 multiplicity 2.

Select whether the graph of f(x) will cross or bounce at each of the zeros.

Which of the following is the graph of

$$f\left(x\right)=\left(x+2\right)\left(x-1\right)^2$$  ?

Select all the zeros (with multiplicities) of

$$g\left(x\right)=-2x^2\left(x+4\right)^2$$  

$$g\left(x\right)=-2x^2\left(x+4\right)^2$$  

From the last question, we know that g(x) has zeros at

x= 0 multiplicity 2 and x= -4 multiplicity 2.

Select whether the graph of g(x) will cross or bounce at each of the zeros.

Which of the following is the graph of

$$g\left(x\right)=-2x^2\left(x+4\right)^2$$  ?

x=0 multiplicity of 1 is a zero of h(x).

Select all other zeros (with multiplicities) of

$$h\left(x\right)=x\left(x-7\right)^2\left(x+5\right)^2$$  

$$h\left(x\right)=x\left(x-7\right)^2\left(x+5\right)^2$$  

From the last question, we know that h(x) has zeros at

x= 0 multiplicity 1, x= 7 multiplicity 2, and x= -5 multiplicity 2

Select the graph of h(x).

Select all other zeros (with multiplicities) of

$$k\left(x\right)=-\left(x+1\right)^2\left(x+4\right)$$  

$$k\left(x\right)=-\left(x+1\right)^2\left(x+4\right)$$  

From the last question, we know that k(x) has zeros at

x= -1 multiplicity 2, and x= -4 multiplicity 1

Select the graph of h(x).

Select ALL the possible factors in the equation of the graph.