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Use the function below to answer parts a-k. f(x)=x^3-5x^2+3x+9 a. Is the function algebraic or exponential?...

Use the function below to answer parts a-k.

f(x)=x^3-5x^2+3x+9

a. Is the function algebraic or exponential?

b. Find the domain of the function.

c. Find the interval where the function is continuous. If the function is discontinuous at a value, specify the first continuity condition that is not satisfied.

d. What is/are the x-intercepts?

e. What is the y-intercept?

f. Find all of its critical values stating if they are absolute/relative max or min.

g. What are the hypercritical values?

h. Construct a sign chart.

i. State the intervals on which it is increasing or decreasing.

j. What are the concavities on the intervals above? (Where is it concave up and down.)

k. Use the information from parts a-k to graph the function. (Scale your graph accordingly and make sure to label all the important points).

Expert Solution

milcah answered 2 years ago

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