Increasing, Decreasing, Constant Intervals

Front

What is an increasing interval?

Back

An increasing interval is a range of x-values over which the function's output (y-values) rises as x increases.

Front

What is a decreasing interval?

Back

A decreasing interval is a range of x-values over which the function's output (y-values) falls as x increases.

Front

What is a constant interval?

Back

A constant interval is a range of x-values over which the function's output (y-values) remains the same as x increases.

Front

How do you identify increasing intervals on a graph?

Back

Look for sections of the graph where the line slopes upwards from left to right.

Front

How do you identify decreasing intervals on a graph?

Back

Look for sections of the graph where the line slopes downwards from left to right.

Front

How do you identify constant intervals on a graph?

Back

Look for horizontal sections of the graph where the line does not rise or fall.

Front

What does it mean if a function is increasing on an interval?

Back

It means that as the input values (x) increase, the output values (y) also increase.

Front

What does it mean if a function is decreasing on an interval?

Back

It means that as the input values (x) increase, the output values (y) decrease.

Front

What is the significance of constant intervals in real-life situations?

Back

Constant intervals can represent situations where a quantity remains unchanged over a period, such as a flat fee or steady speed.

Front

Example of an increasing interval: If a car travels from 0 to 60 mph over 10 seconds, what type of interval is this?

Back

This is an increasing interval because the speed of the car is rising.