Question

Olivia Earns $14 per hour at her job and receives a weekly bonus $100. Her total pay for the week of X hours is given by f(x)=100+14x. What is the reasonable domain and range?

Answer 1

Explanation:

Given the total pay for the week of X hours given by f(x)=100+14x, the domain of the function is the value of the input variable x for which the function exists. Since her to total week cannnot be negative, hence the value of x for which the function occurs is on all positive integers. This is represented according to the set notation;

Domain = [0, ∞)

The range of the function is the value of the output variable f(x) for all vaues of x for which the function occurs. Snce the minimum value of x is 0, the minimum value of the function will be at f(0);

f(0) = 100 + 14(0)

f(0) = 100 + 0

f(0) = 100

Hence the range of the function will be expressed as;

Range = [100, ∞)