Question

XYZ’s print publication charges $15 for each of the first four lines of an ad, and $9 for each additional line. Express the cost of an x-line ad, c(x), as a piecewise function.

Answer 1

By using the given information we can infer the domains of the function, and we will see that the piecewise function is:

c(x) = $15*x   if  0 ≤ x ≤ 4

c(x) = $60 + 9*(x - 4)   if x > 4.

How to get the piecewise function?

We know that the print charges $15 for each of the first four lines on an add, and $9 for each additional line.

Then we will have one piece for x between 0 and 4, and another piece for x larger than 4. The function will be:

c(x) = $15*x   if  0 ≤ x ≤ 4

c(x) = $60 + 9*(x - 4)   if x > 4.

Where the y-intercept on the second part is equal to the cost for the first four lines of the add.

If you want to learn more about piecewise functions, you can read:

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