Question

Write a function using function notation to describe each situation. Find a reasonably domain and range for each function. A newspaper charges $3 per line for the first 4 lines plus a $20 fee to advertize.

Answer 1

The answer is below

Explanation:

The domain of a function is the set of all independent variables for the function while the range of a function is the set of all possible dependent variables.

Let x represent the number of newspaper lines and f(x) be the charges for advertisement. x is the independent variable and f(x) is the dependent variable.

Since the newspaper charges $3 per line for the first 4 lines plus a $20 fee to advertise, the function is given as:

f(x) = 3x + 20 for 0 < x < 4

But for more than four lines, the charges is given as:

f(x) = 12 + 20 = 32 4 < x < ∞

Therefore, the domain and range of the function is:

Domain = (0, ∞)

Range = (20, 32}