Exam 9: New Functions From Old

Use the table to determine whether or not the function is one-to-one.

Create a function for the diameter of a tumor after t days if the volume of the tumor doubles every 162 days and the tumor has an initial volume of 0.42 cubic cm. (Round all numbers to 5 decimal places.)

The amount of material, M, used to fabricate a 2-inch diameter aluminum can is given by where h is the height of the can. Find a formula for the height as a function of the amount of material to be used.

For the function identify any vertical asymptotes. Enter the equation of the asymptote , use reduced fractions.

Evaluate . where and Give an exact answer in the form of a reduced fraction.

Determine whether or not the function whose graph is pictured is one-to-one.

Use the tables to evaluate .

Evaluate where and Give a decimal answer. Round your answer to 2 decimal places, if necessary.

Find a polynomial function with horizontal intercepts -6, -5, -1, and 1 and vertical intercept 30. Write your answer in standard form, .

A national organization for retired persons claims that a retiree should have 9 years worth of income saved plus any additional amount needed to relocate (if desired) after retirement. The annual inflation rate is approximately 1.3%. A person who currently earns $38,000 per year wishes to relocate upon retirement. The move would cost $17,700 in today's money. Create a function for the amount this person should plan to have in savings at retirement if they plan to retire in t years.

If graph A is the graph of , which of the following will yield graph B?

Find the horizontal intercepts of the function . Write your answers in ascending order .

Find the horizontal intercepts of the function . Write your answers in ascending order .

Find the inverse of the function

If graph A is the graph of , which of the following will yield graph B?

Start up costs for a small business are $200,000. Each product costs $4.50 to produce. Construct a function for the total cost per product.

Evaluate . where and Give an exact answer in the form of a reduced fraction.

Evaluate the expression for x = 25. (Round the answer to two decimal places if necessary.)

State the domain of this function?

State the domain of this function?