Increasing, Decreasing, Min, Max

• ​Increasing- from left to right the y-values will be getting bigger (graph goes towards the sky)

• Decreasing- from left to right the y-values will be getting smaller (graph goes towards the ground)

​decreasing

​increasing

minimum

​increasing

decreasing

​increasing

​maximum

​minimum

Multiple Choice

Identify where the function is increasing.

• $$x\ <-4\ \ \ \ \ ,\ \ \ \ x\ >1$$

• $$-\ 4<x<1$$

• $$-6<x<-2$$

• $$x<-6\ \ \ \ ,\ \ \ x\ >-2$$

Multiple Choice

Identify where the function is decreasing.

• x < -4 , x > 1

• -4 < x < 1

• -6 < x < 7.5

• All Real Numbers

Minimums and Maximums

Multiple Choice

What is the relative maximum?

• (1,2)

• (2,2)

• (0,-2)

Multiple Choice

What is the absolute minimum?

• $$Does\ not\ exist$$

• $$\left(-3,\ -2\right)$$

• $$\left(2,\ 0\right)$$

• $$\left(-\infty,-\infty\right)$$

Absolute vs Relative

If multiple Relative Maximums exist on a curve, the one with the largest y value is the Absolute Maximum. The opposite occurs when looking for the Absolute Minimum.