Increasing and Decreasing Functions

Discussing the applications of derivatives

Understanding the concept of limits

Exploring the history of calculus

Learning about increasing and decreasing functions

The function's output remains constant as x-values increase

The function's output decreases as x-values increase

The function's output fluctuates as x-values increase

The function's output increases as x-values increase

They allow for the inclusion of endpoints

They ensure the function can continue to grow or shrink

They simplify the calculation of derivatives

They are easier to graph

By identifying sections where the graph climbs from left to right

By looking for sections where the graph is flat

By finding sections where the graph falls from left to right

By checking where the graph crosses the y-axis

Measuring the slope of the tangent line

Counting the number of peaks and troughs

Tracing the graph with your right hand while marking intervals with your left

Using a calculator to find derivatives

That they are not important for calculus

That they are always constant

That they can include endpoints

That they are only relevant for linear functions

The history of calculus

The concept of limits

Local and relative maxima and minima

The applications of integrals