Question

The table below shows the fifth roots of different numbers:


Number (x) 32 −32 243 −243
Fifth root of the number (y) 2 −2 3 −3


Part A: Does the table represent y as a function of x? Justify your answer. (5 points)

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

f(x) = 7x + 5

What is the value of f(5) and what does f(5) represent? (5 points)

Answer 1

PART A:

The table does represent y as the function of x since each value of x is mapped onto a unique value of y, often called as one-on-one function

PART B:

f(5) = 7(5)+5 = 35+5 = 40

f(5) represent the cost of renting a boat for 5 hours