Exam 1: Functions and Models

Find the limit

Select the correct Answer for each question. -Simplify the expression.

Sandy wishes to have a rectangular garden in her backyard.She has 40 ft of fencing with which to enclose her garden.Letting enote the width of the garden, find a function in the variable that gives the area of the garden.Select the correct Answer

Find all solutions of the equation correct to two decimal places.

Express the function in the form of

Find the function such that and

Starting with the graph of find the equation of the graph that results from reflecting about the line Select the correct Answer

If evaluate the difference quotient

Select the correct Answer for each question. -The graph of the function has been compressed horizontally by a factor of 2.Find the function for the transformed graph.

If and , find a function g such that

Suppose that the graph of is given is given.Describe how the graph of the function can be obtained from the graph of Select the correct Answer

If , find

Find the domain of the function

What , given that and ?

An open rectangular box with volume has a square base.Express the surface area of the box as a function of the length of a side of the base.

By cutting away identical squares from each corner of a rectangular piece of cardboard and folding up the resulting flaps, an open box can be made.If the cardboard is 13 in.long and 9 in.wide and the square cutaways have dimensions of in.by in., find a function that gives the volume of the resulting box.

Which of the following graphs is the graph of the function?

A spherical balloon with radius inches has volume Find a function that represents the amount of air required to inflate the balloon from a radius of inches to a radius of inches.

Select the correct Answer for each question. -Starting with the graph of , find the equation of the graph that results from reflecting about the line

Find the exact value of the given expression.