For the function ƒ(x) = −4x − 5, what are the outputs for the inputs –4, 1, 3, and 11?

{11, -9, -17, -49}

Step-by-step explanation:

Here we're "evaluating" the function f(x) = -4x - 5 for several inputs {-4, 1, 3, 11}.

To do this, we replace "x" in f(x) = -4x - 5 with each of these inputs and determine the function value for each.

Starting with x = -4:

We evaluate f(x) = -4x - 5 as follows:  f(-4) = -4(-4) - 5 = 16 - 5 = 11.

Likewise:  f(1) = -4 -5 = -9

and           f(3) = -4(3) - 5 = -12 - 5 = -17

and           f(11) = -4(11) - 5 = -44 - 5 = -49

The following set presents the output values in the correct order:

{11, -9, -17, -49}

the revenue of the fitness center, y, is the product of two factors: the number of members and the fee paid by each member. there are 320 members now, but number of members goes down by 10 for each $5 increase in fees, so if x is the number of $5 price increases then members is equal to (320 - 10x). since the fee is currently $45, and the fee increases by $5 for every price bump x, the fee is given by (45 + 5x). so, revenue y is given by y = (320 - 10x)(45 + 5x).