91Ó°ÊÓ

For each graph,

a. Describe the end behaviour.

b. Determine whether it represents an odd-degree or an even-degree polynomial function, and

c. state the number of real zeros.

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.

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.

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

The intensity of light emitted by a firefly can be determined by $L\left(t\right)=10+0.3t+0.4t^2-0.01t^3$, where $\left(t\right)$ is temperature in degrees Celsius and $L\left(t\right)$ is light intensity in lumens. If the temperature is $30{}^{∘}C$, find the light intensity.

State the degree and leading coefficient of polynomial $7-x$ 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.

$f\left(x\right)=x^3+5x^2-9$

State the degree and leading coefficient of polynomial $\left(a+1\right)\left(a^2-4\right)$ 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.

$f\left(x\right)=-3x^3+20x^2-36x+16$

State the degree and leading coefficient of polynomial $a^2+2ab+b^2$ 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.

$f\left(x\right)=x^3-4x^2+2x-1$