Increasing, decreasing constant intervals

The video tutorial explains how to determine if a function is increasing, decreasing, or constant by analyzing graphs and equations. It provides three examples: a basic graph, a polynomial function, and a piecewise function. The tutorial emphasizes the importance of using X values to describe intervals and demonstrates how to identify these intervals using graphing tools like Desmos. The video aims to help viewers understand the differences in function behavior and how to describe them accurately.

What is the primary focus when identifying intervals of increase, decrease, or constancy in a function?

• Finding the intercepts

• Calculating the slope

• Using the X values

• Observing the Y values

In the first example, what is the interval where the graph is constant?

• From 1 to Infinity

• From negative Infinity to -1

• From 0 to 2

• From -1 to 1

Which tool is preferred for graphing the polynomial function discussed in the second example?

• TI Calculator

• Casio Calculator

• Microsoft Excel

• Desmos

For the polynomial function, what is the interval where the graph is decreasing?

• From negative Infinity to -0.466

• From -1 to 1

• From -0.466 to 0.716

• From 0.716 to Infinity

What type of function is analyzed in the third example?

• Exponential function

• Piecewise function

• Linear function

• Quadratic function

In the piecewise function example, what is the interval where the graph is increasing?

• From negative Infinity to 1

• From 1 to 2

• From 2 to Infinity

• From 0 to 1

What challenge is mentioned regarding the use of graphing tools for the piecewise function?

• Calculating the slope

• Identifying the function type

• Determining the intercepts

• Finding the exact values