Question

O GRAPHS AND FUNCTIONSGraphing a piecewise-defined function: Problem type 2

Answer 1

Ok, so

Here we have the following function:

`f(x)=\begin{cases}-5x+3,\text{ if }x\leq2 \\ x-4,\text{ if }x>2\end{cases}`

We're going to graph the function first.

If x is less or equal than 2, the function will be the line -5x+3. This line has a slope equal to -5 and a y-intercept equal to 3.

This is,

As you can see, the function is not defined in x = 2, so it is not continuous.