Question

Graph piecewise function:
p(x)={1/2x+1 if x cannot equal to 4
{2 if x = 4

State Domain and Range

Answer 1

Basically what we want to do is - think of this as two different functions.

It's the function \(p(x)=\dfrac{1}{2}x+1\) when `x is not 4`.
And it's a different function \(q(x)=2\) when `x is 4`.

So let's graph what I called `q` first, since that one is easy. c:

Answer 2

ok :)

Answer 3

so when x is not 4, that mean i can select x to be any number just dont pick 4 right ?

Answer 4

For all values of x, the function produces `2`.
Normally that would look like a horizontal line like this,But this function is only defined at x=4! So what we actually get is this.