The table below shows the fifth powers of different numbers:

Number (x) 1 - 1 2 - 2

Fifth power of the number (y) 1 - 1 32 - 32

Part A: Does the table represent y as a function of x? Justify your answer.

Part B: The total cost f (x), in dollars, for renting a bowling lane for x hours is shown below:

f (x) = 2x + 12

What is the value of f (4) and what does f (4) represent?

1. The answer would be true

Part A: Does the table represent y as a function of x? Justify your answer.

The function of x is " fifth powers of x" which can be write as

f (x) = x^5

To determine whether the y represent f (x), you can try to put a value of x into the function, then compare the value of f (x) with y.

For x=1 and y=1

f (x) = x^5

f (1) = 1^5

f (1) = 1 = y

For x=2 and y=32

f (x) = x^5

f (2) = 2^5

f (2) = 32 = y

2.

What is the value of f (4) and what does f (4) represent?

The f (4) means putting 4 as the x value. In the function, the f (x) represent price for renting a bowling lane and the variable x represent the number of hours. Then f (4) represent the price for renting a bowling lane for 4 hours.

The value would be:

f (x) = 2x + 12

f (4) = 2 (4) + 12

f (4) = 8+12 = $20