Exam 9: New Functions From Old

Find where and

State the domain of this function?

State the domain of this function?

Decompose the rational function into a sum of a fraction and a constant.

Select the choice which best describes the graph of .

Transform the function into a new function by shifting horizontally 10 units to the right, reflecting the result across the x-axis, and then shifting the result down 6 units. Find the equation of .

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

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

Find where and

Find a polynomial function with horizontal intercepts 2, 4, 5, 6, and 9 and vertical intercept 6480. Write your answer in factored form, with .

Select the equation whose graph is the graph of vertically stretched by a factor of and reflected across the x-axis.

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

Transform the function into a new function by shifting horizontally 3 units to the left and then shifting the result down 6 units.Find the equation of .

Find the formula for ,the inverse of the function . Express any values exactly using reduced fractions.

What is the minimum degree of the polynomial pictured?

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

Find the formula for ,the inverse of the function . Express any values exactly using reduced fractions.

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

Use the table to create a table for the function : (Round the answer to 2 decimal places if necessary.)

Use the table to evaluate the function :