Describe Non-Linear Functions

Front

What is a non-linear function?

Back

A non-linear function is a function that does not create a straight line when graphed. Its rate of change varies, meaning it can increase or decrease at different rates.

Front

What does it mean for a function to be increasing?

Back

A function is increasing when the output values rise as the input values increase. In a graph, this is represented by a line that moves upwards from left to right.

Front

What does it mean for a function to be decreasing?

Back

A function is decreasing when the output values fall as the input values increase. In a graph, this is represented by a line that moves downwards from left to right.

Front

What is a constant function?

Back

A constant function is a function that does not change its value as the input changes. Its graph is a horizontal line.

Front

How can you identify an increasing interval on a graph?

Back

An increasing interval can be identified on a graph where the slope is positive, meaning the graph rises as you move from left to right.

Front

How can you identify a decreasing interval on a graph?

Back

A decreasing interval can be identified on a graph where the slope is negative, meaning the graph falls as you move from left to right.

Front

What is the significance of intervals in a graph?

Back

Intervals in a graph represent specific ranges of input values over which the function behaves in a certain way, such as increasing, decreasing, or constant.

Front

What does it mean for a graph to have a constant rate of change?

Back

A graph has a constant rate of change when the slope remains the same throughout the interval, indicating a linear relationship.

Front

What is the relationship between attendance and time in a non-linear function?

Back

In a non-linear function, the relationship between attendance and time can vary, showing different rates of increase or decrease at different intervals.

Front

How do you determine the interval with the highest attendance?

Back

To determine the interval with the highest attendance, look for the interval where the graph reaches its peak or highest point.