Exam 2: Functions and Graphs

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 = - 10

Determine whether or not the function is one-to-one. -f(x) =

Determine whether the function is even, odd, or neither. -f(x) = - + 3x

Graph the function. -

Use the vertical line test to determine whether y is a function of x. -

Solve the problem. -Suppose a life insurance policy costs $16 for the first unit of coverage and then $4 for each additional unit of coverage. Let C(x) be the cost for insurance of x units of coverage. What will 10 units of coverage cost?

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

Determine whether or not the function is one-to-one. -f(x) =

Find the constant of variation and construct the function that is expressed in each statement. -y varies inversely as x: y = 27, when x = 3

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). -

Evaluate. -If f(x) = + 4x - 3, find f(4).

Solve the problem. -Let R(x) = -19x + 175 represent the number of students present in a large class, where x represents the number of hours of study required weekly. What is the rate of change of the number of students in the class with respect To the number of hours of study?

Determine whether the relation is a function. -{(3, 1), (3, 8), (4, 7), (8, -6), (11, -1)}

Solve the problem. -A stone is thrown into a pond. A circular ripple is spreading over the pond in such a way that the radius is increasing at the rate of 4.7 feet per second. Find a function, r(t), for the radius in terms of t. Find a function, A(r), for the area of the ripple in terms of r. Find t).

Determine whether the function is even, odd, or neither. -f(x) = + 3

Solve the problem. -The weight of a body above the surface of the earth is inversely proportional to the square of its distance from the center of the earth. What is the effect on the weight when the distance is multiplied by 4?

Write the equation of the graph after the indicated transformation(s). -The graph of y = is reflected across the y-axis. This graph is then vertically stretched by a factor of 4.6. Finally, the graph is shifted 4 units downward.

Determine the intervals on which the function is increasing, decreasing, and constant. -

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

Find the specified domain. -For f(x) = 2x - 5 and g(x) = what is the domain of f/g?