a. b. c.

d. e. f. g. h. i. j. k.

1.

Use your graphing calculator to graph each of the following functions and provide the requested information using appropriate interval notation. You will have to set an appropriate window setting to fully see the graphs. To find the x values where the function changes from increasing to decreasing, use the minimum and maximum feature in the Calculate graphing menu of your graphing calculator. You find this by selecting TRACE and number 3: Minimum or 4: Maximum.

() = 3 32 6 + 8

What is the degree of this polynomial?__________________________________ What is the y-intercept of this polynomial?_______________________________ How many solutions are there forf(x)=0? ____________________________

How many turns points does()have?________________________________ On which intervals ofis()positive.________________________________ On which intervals ofis()negative._______________________________ On which intervals ofis()increasing.______________________________ On which intervals ofis()decreasing.______________________________ Estimate on which intervals ofis()concave up._______________________ Estimate on which intervals ofis()concave down._____________________ Describe the end term behavior of the function.

, () ____________ , () _________

a. b. c. d. e. f. g. h. i. j. k.

()=4+2321222+40

What is the degree of this polynomial?__________________________________ What is the y-intercept of this polynomial?_______________________________ How many solutions are there forf(x)=0? __________________________ How many turns points does()have?______________________________ On which intervals ofis()positive.______________________________

On which intervals ofis()negative._____________________________ On which intervals ofis()increasing.____________________________ On which intervals ofis()decreasing.____________________________ Estimate on which intervals ofis()concave up.____________________ Estimate on which intervals ofis()concave down.__________________ Describe the end term behavior of the function.

, () ____________ , () _________

2.

Use Converge to graph the given function

a.

b.

c.

() =2+3Asymptotes:1

, () ____________

Undefined at x=: Zero at x=0:

() =32+2Asymptotes:2+1

, () ____________

Undefined at x=: Zero at x=0:

() =21Asymptotes:22+3

, () ____________

Undefined at x=: Zero at x=0:

() =42Asymptotes:2+3

, () ____________

Undefined at x=: Zero at x=0:

() =33+2Asymptotes:34

, () ____________

Undefined at x=: Zero at x=0:

• +, () _________
• +, () _________
• +, () _________

3.

For the following rational functions, state where each function is undefined, where each function is equal to zero, and fill in the blanks provided. State which of these graph have asymptotes and whether they are vertical or horizontal.

d.

e.

• +, () _________
• +, () _________