Name: 

The graph of which function is shown?

Identify the domain and range of . Compare the graph of g with the graph of .

Describe the transformations applied to the graph of the parent function used to graph .

The graph of a square root function h is shown in the graph, and . Describe the values of x for which h and g are both defined and explain how you found your answer.

The graph of g is shown below. The graph of g can be obtained by applying horizontal and vertical shifts to the parent function . What is g?

The graph of which function is shown?

Describe the transformations applied to the graph of the parent function used to graph .

Solve .

Solve .

Solve .

Solve .

Find the inverse of .

Find the equation for the inverse relation of , .

Find the inverse of .

Which equation is the inverse of ?

Two vertical poles of lengths 10 ft and 18 ft stand some distance apart, as shown. A rope 32 ft long reaches from the top of one pole to the point on the ground equidistant from the poles and then to the top of the other pole. How far apart are the poles?
(Figure not drawn to scale.)

A crew member on a fishing boat falls ill and needs medical attention. The boat is at point located 10 miles from point , the nearest point on shore. Point is 70 miles from the nearest hospital on a straight road that runs along the coast, as shown. The captain radios the hospital to send an ambulance and starts to cruise at 15 miles per hour toward a pier at point . The ambulance leaves the hospital toward point at 75 miles per hour. How far from point is point if the boat and the ambulance arrive at the same time?
(Figure not drawn to scale.)