Equal Functions

• 4.085

• 4.174

• 16.809

• 16.957

A ball is dropped from a building at the same time a balloon rises from the ground. The heights, in feet, of the ball and balloon above the ground after x seconds are modelled by the functions below. How many seconds are the ball and balloon at the same height? Use a graphing calculator and round to the nearest hundredths.

• 1.11

• 1.36

• 4.42

• 5.42

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• 
• 

The coordinate grid shown shows the graph of supply and demand functions for the sales of wooden chairs. For the functions, x represents, the number of chairs in hundreds, and y represents the price of each chair, in dollars. The equilibrium point for the functions can be found by locating the point where the two functions are equal. Which of these appears to be the number of chairs, in hundreds, that must be sold to achieve equilibrium.?

• 20

• 35

• 40

• 90

The revenue function for a real estate agency is based on a percentage of the amount of monthly sales by the agents. The cost function for the agency is based on the commissions paid to the agents plus the fixed monthly costs. Both functions are shown where x is the dollar amount of the monthly sales made by the agents. The agency will break even when the revenue function is equal to the cost function. For the agency to break even, what amount of monthly transactions, in dollars, must be generated by the agents?

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• 
• 
• 

What does x equal in the function:
f(-11) = 5x + 1

• -54 

• 5

• 1

• -11

Which of the following is a function?

• A

• B

• C

• D

Which is a function?

• A

• B

• C

• D

What is g(-2) if:

• -7

• 7

• 1

• -1

The blue function is the original function f(x) = x³. Which of the following is the correct equation for the red function, g(x)?

• g(x)=x³+1

• g(x)=x³-1

• g(x)=(x-1)³

• g(x)=(x+1)³