Based on the known points plotted on the graph, determine what intervals the graph should be broken into.  
Plotted points are: $\(\left\)(-3,0\(\right\)),$$\(\left\)(0,1\(\right\)),\(\left\)(2,0\(\right\)),$ & $\(\left\)(5,0\(\right\))$

In Exercises 1–10, determine which functions are polynomial functions. For those that are, identify the degree. f(x)=x^1/3 −4x²+7

Use the Intermediate Value Theorem to show that each polynomial has a real zero between the given integers.f(x)=2x⁴−4x²+1; between -1 and 0

In Exercises 33–40, use the Intermediate Value Theorem to show that each polynomial has a real zero between the given integers. f(x)=x⁵−x³−1; between 1 and 2

Use the Intermediate Value Theorem to show that each polynomial has a real zero between the given integers. f(x)=3x³−10x+9; between -3 and -2

Graph the polynomial function. Determine the domain and range. $f\(\left\)(x\(\right\))=\(\left\)(3x+2\(\right\))\(\left\)(x-1\(\right\))^2$

Use the Leading Coefficient Test to determine the end behavior of the graph of the polynomial function. $f\left(x\right)=11x^3-6x^2+x+3$

Use the Leading Coefficient Test to determine the end behavior of the graph of the polynomial function. $f\left(x\right)=5x^4+7x^2-x+9$

In Exercises 19–24, use the Leading Coefficient Test to determine the end behavior of the graph of the polynomial function. $f\left(x\right)=-11x^4-6x^2+x+3$