Question

Over what interval is the function in this graph increasing?

Answer 1

A function is increasing if it "points upwards".

Think that you have two inputs $x_1$ (think of them as being very close to each other). A function $f$ is increasing if

$f(x_1)$

So, smaller input, smaller output.

So:

• In the first segment on the left, the function is decreasing: if you move with little steps rightwards, the output will get smaller and smaller (the function points to the right bottom)
• In the second segment, the line is constant (it's horizontal). This means that even if you consider a larger input, the output reimains the same
• In the third segment, the function is increasing: if you consider a larger input, the output will be larger as well: the function points to the top right.
• In the fourth segment, the function is decreasing again (look at the first bullet point)

So, the function is increasing in the third segment, which is delimited by

$-2\leq x \leq 3$

Answer 2

Answer:

-4<=x<=-2

Step-by-step explanation:APEX