Exam 2: Functions

Let Be a composite function, where Is the volume of oil, in cubic meters, that has leaked from a broken pipeline after t days, and Is the cost, in dollars, of V cubic meters of oil. What are the units of ?

Let . .

If , solve for x.

Use the following chart containing values of to determine whether the function appears to be: a) increasing or decreasing b) concave up or concave down

If , find to 2 decimal palces.

Calculate successive rates of change for the function Shown in the following table to determine if the graph is more likely concave up or concave down for

Let a) Find the domain of b) Find the range of

Use the following chart containing values of to determine whether the function appears to be: a) increasing or decreasing b) concave up or concave down

Fred's cell phone company charges $55 per month and $0.45 for each minute (or part of a minute) over 115 minutes. Which of the following is the domain of the function?

Suppose that your uncle Gerald has just opened a store that sells television sets. Let represent the profit that he makes selling x television sets per week. Suppose that he currently sells k television sets per week. What is the practical interpretation of ?

Graph and use the graph to give an estimate of the largest interval on which the function is concave up.

Fred's cell phone company charges $50 per month and $0.35 for each minute (or part of a minute) over 120 minutes. a) Write a formula for the company's policy. b) How much is Fred's cell phone bill for the month if he talks for 158 minutes.

The car slowed down steadily. Which of the following tables of values could represent A) B) C) D) E)

The circumference, in cm, of a circle whose radius is r cm is given C =2πr if V = f(r) evaluate and interpret f ^-1 (16 π )

The graph of Is concave down for . Which of the following is the largest?

If is decreasing and concave up on , then .

Find the domain of the function .

Let . What is the domain of ?

Which of the following are not in the range of ?