Piecewise Function Definition

Hi Mehtap, let's look at this piecewise function together. We are given two different rules for the function f of x depending on the value of x.

For values of x less than three, the function follows the formula five x squared minus two. For values of x greater than three, it follows the rule five x.

Usually, with such problems, we want to evaluate the function or check for continuity at the boundary point, which is x equals three.

Let's see what happens as x approaches three from the left, using the first rule.

Three squared is nine, and nine times five is forty-five.