91Ó°ÊÓ

State the degree and leading coefficient of polynomial $6x^4+3x^2+4x-8$ in one variable. If it is not a polynomial in one variable, explain why.

Complete each of the following.

1. Graph each function by making a table of values.
2. Determine consecutive values of x between which each real zero is located.
3. Estimate the x-coordinate at which the relative maxima and relative minima occur.

$f\left(x\right)=x^4-8$

Describe the characteristics of the graphs of odd-degree and even-degree polynomial functions whose leading coefficients are positive.

State the number of turning points of the graph of a fifth-degree polynomial if it has five distinct real zeroes.

State the degree and leading coefficient of polynomial $7+3x^2-5x^3+6x^2-2x$ in one variable. If it is not a polynomial in one variable, explain why.

Complete each of the following.

1. Graph each function by making a table of values.
2. Determine consecutive values of x between which each real zero is located.
3. Estimate the x-coordinate at which the relative maxima and relative minima occur.

$f\left(x\right)=x^4-10x^2+9$

State the degree and leading coefficient of polynomial $c^2+c-\frac{1}{c}$ in one variable. If it is not a polynomial in one variable, explain why.

Complete each of the following.

1. Graph each function by making a table of values.
2. Determine consecutive values of x between which each real zero is located.
3. Estimate the x-coordinate at which the relative maxima and relative minima occur.

$f\left(x\right)=-x^4+5x^2-2x-1$

Find $p\left(4\right)\text{and}p\left(-2\right)$ for the function $p\left(x\right)=2-x$.

Complete each of the following.

1. Graph each function by making a table of values.
2. Determine consecutive values of x between which each real zero is located.
3. Estimate the x-coordinate at which the relative maxima and relative minima occur.

$f\left(x\right)=-x^4+x^3+8x^2-3$