Question

Express the function graphed on the axes below as piecewise function

for x<-4
for x>2

Answer 1

<--------o o------------->

-4 2

Explanation:

Because the sign in the inequalities is only greater than/ less than (not equal to), we know that there is an open dot on x=-4 and on x=2.

From there, we shade the area on the graph that is true to the function. So, we can test points.

First we will test x=-5

-5<-4 --> this is true, so we will shade to the left of x=-4

Now test x=0

0<-4 --> this is false

0>2 --> this is also false, so the area between the two open dots will not be shaded

Now test x=3

3>2 --> this is true, so we will shade to the right of x=3