Exam 1: Functions and Models

Find if

Find the domain of the function.

Select the correct Answer for each question. -The graph of the function is given.State the value of .

Plot the graph of the function in an appropriate viewing window.

Select the correct Answer for each question. -Graph the function by hand, not by plotting points, but by starting with the graph of one of the standard functions and then applying the appropriate transformations.

The monthly cost of driving a car depends on the number of miles driven.Julia found that in October it cost her to drive mi and in July it cost her to drive mi.Express the monthly cost C as a function of the distance driven d assuming that a linear relationship gives a suitable model.

Determine whether is one-to-one.

Find the range of the function.

Select the correct Answer for each question. -Starting with the graph of write the equation of the graph that results from shifting 5 units right.

Find the points of intersection of the graphs of the functions.Express yourAnswers accurate to five decimal places.Select the correct Answer

Select the correct Answer for each question. -Which of the following graphs is the graph of the function?

Let and Find

Plot the graph of the function in an appropriate viewing window.Select the correct Answer

How would you define in order to make continuous at

Let and Find

The graph of the function has been stretched horizontally by a factor of 2.Find the function for the transformed graph.

Solve the equation.

Fill in the blanks.

Use the vertical line test to determine whether the curve is the graph of a function of

The graph shown gives the weight of a certain person as a function of age.Find the age at which the person started an exercise program.