5.3 Polynomial Graphs Review of Notes

Which of the following is the graph of a polynomial function?

Which of the following is the graph of a polynomial function?

 What is the end behavior of the equation given below (you need to make two choices for x approaches infinity, and x approaches negative infinity).

$$f\left(x\right)=-4x^3+5x^2-7x+11$$

What is the end behavior of the equation given below (you need to make two choices for x approaches infinity, and x approaches negative infinity).

$$f\left(x\right)=5x^6-7x^3+14x-9$$

What is the end behavior of the equation given below (you need to make two choices for x approaches infinity, and x approaches negative infinity).

$$f\left(x\right)=-\frac{1}{2}x^2+19x-29$$

What is the end behavior of the equation given below (you need to make two choices for x approaches infinity, and x approaches negative infinity).

$$f\left(x\right)=4x^7-4x^4+12x^2-10$$

Which polynomial below could have at most 4 turning points (extrema)?

Which of the polynomials below *could* have at most 6 zeros?

 Given the polynomial $$f\left(x\right)=x^3\left(x-2\right)^2\left(x-5\right)^5\left(x+3\right)^8$$ which of the following zeros are CROSSING the x-axis (select all that apply. 

 Given the polynomial $$f\left(x\right)=x^3\left(x-2\right)^2\left(x-5\right)^5\left(x+3\right)^8$$ which of the following zeros are TANGENT to the x-axis (select all that apply.