Answer function shown below.

f(x)=x33x2x+3

a. Use the leading coefficient test to determine thegraph's end behavior. Which statement describes the behavior at the ends of f(x)=x33x2x+3?

A.

The graph rises to the left and to the right.

B.

The graph falls to the left and rises to the right.

C.

The graph falls to the left and to the right.

D.

The graph rises to the left and falls to the right.

b. Find thex-intercepts. State whether the graph crosses thex-axis, or touches thex-axis and turnsaround, at each intercept. What are thex-intercepts?

x=

(integer or a decimal. Use a comma to separate answers asneeded.)

At whichx-intercept(s) does the graph cross thex-axis?

A.

x=

(Integer or a decimal. Use a comma to separate answers asneeded.)

B.

There are nox-intercepts at which the graph crosses thex-axis.

At whichx-intercept(s) does the graph touch the x-axis and turnaround?

A.

x=

(Integer or a decimal. Use a comma to separate answers asneeded.)

B.

There are nox-intercepts at which the graph touches the x-axis and turns around.

c. Find they-intercept.

They-intercept is y=

nothing

d. Determine whether the graph hasy-axis symmetry, originsymmetry, or neither. Choose the correct answer below.

A.

origin symmetry

B.

y-axis symmetry

C.

neither

e. Use the graphing tool to graph the function. Ifnecessary, find a few additional points and graph the function. Use the maximum number of turning points to check whether it is drawn correctly.