1.2 Interpreting Graphs of Functions

A graph can show how:

Two quantities vary with respect to each other

When is a function increasing on an interval of its domain?

As the input values increase, the output values increase as well

For functions increasing on an interval of its domain, if a < b, then f(a) ? f(b)

< (increasing)

When is a function decreasing on an interval of its domain?

If as input values increase, output values decrease

For a function decreasing on an interval of its domain, if a<b, then f(b) ? f(a)

< (decreasing)

Important information that reveal about the context of a graph:

x-intercepts, maximum and minimum values, intervals of increasing and decreasing