Exam 2: Functions and Graphs

Solve the problem. -Bob wants to fence in a rectangular garden in his yard. He has 64 feet of fencing to work with and wants to use it all. If the garden is to be x feet wide, express the area of the garden as a function of x.

Solve the problem. -The intensity I of light varies inversely as the square of the distance D from the source. If the intensity of illumination on a screen 5 ft from a light is 4 foot candles, find the intensity on a screen 20 ft from the light.

Determine whether the equation defines y as a function of x. -x =

Translate the given formula to English. - , where P is the gas pressure of N molecules in a volume V at temperature T

Graph the pair of functions on the same plane. Use a dashed line for g(x). -

Determine whether the function is even, odd, or neither. -f(x) =

Provide an appropriate response. -True or false? If f is a one-to-one function and the graph of f lies completely within the first and second quadrants, then the graph of lies completely within the first and third quadrants.

Determine whether the equation defines y as a function of x. -x =

Use transformations to graph the function and state the domain and range. -

List the symmetries of the given function, if there are any. Otherwise, state "No symmetry". -f(x) = + 2

Translate the given formula to English. - , where F is the force of attraction between two objects with masses respectively and d is the distance between the two objects

Provide an appropriate response. -True or false? In order to graph y = , the graph is the same as that of y = f(x) for values of f(x) that are negative, and for nonnegative values of y = f(x), the graph is reflected across the x-axis.

Decide whether or not the functions are inverses of each other. -f(x) = 3x - 2, g(x) =

Translate the given formula to English. - , where r is the rate by which distance d is covered in time t

Graph the pair of functions on the same plane. Use a dashed line for g(x). -

Use the minimum and maximum features of a graphing calculator to find approximately the intervals on which the function is increasing or decreasing. Round your values to two decimal places, if necessary. -y = - - 4x + 1

The graph of the given function is drawn with a solid line. The graph of a function, g(x), transformed from this one is drawn with a dashed line. Find a formula for g(x). -

Provide an appropriate response. -Give the equation that describes the graph shown.

Solve the problem. -The period of vibration P for a pendulum varies directly as the square root of the length L. If the period of vibration is 2 sec when the length is 16 inches, what is the period when L = 1.5625 inches?

Determine whether the relation is a function. -{(-7, 7), (-7, 6), (1, -7), (5, 7), (8, 2)}