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