Question

Piecewise, Abs Val, Analyzing Functions

Answer 1

First think about it as two sides, left and right

Left is \(-\infty\) and right is \(\infty\)

For the left side, is the arrow going up or down?

For the right side, is the arrow going up or down?

Answer 2

It is going up, so positive?

Answer 3

Arrow is going down on the left side, so negative?

Answer 4

Yes. The right side is going up and the left side is going down


Left side is \(-\infty\) and (down) would also be \(-\infty\)

Right side is \(\infty\) and (up) is \(\infty\)

Turning that into a math statement would look like
As \(x\rightarrow-\infty,~f(x)\rightarrow -\infty\)
As \(x\rightarrow\infty,~f(x)\rightarrow \infty\)

Answer 5

Okay thank you so much dude