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, and it can have curves, bends, or breaks.

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. This is represented by an upward slope on the graph.

Front

What does it mean for a function to be constant?

Back

A function is constant when the output values remain the same regardless of changes in the input values. This is represented by a horizontal line on the graph.

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. This is represented by a downward slope on the graph.

Front

How can you identify intervals of increase on a graph?

Back

Intervals of increase can be identified by looking for sections of the graph where the line rises from left to right.

Front

How can you identify intervals of decrease on a graph?

Back

Intervals of decrease can be identified by looking for sections of the graph where the line falls from left to right.

Front

What is a constant function?

Back

A constant function is a type of function where the output value does not change, regardless of the input value. Its graph is a horizontal line.

Front

What is the significance of intervals in a graph?

Back

Intervals in a graph help to describe the behavior of the function over specific ranges of input values, indicating where it is increasing, decreasing, or constant.

Front

What does a graph with a constant rate of change look like?

Back

A graph with a constant rate of change is a straight line, indicating that the function increases or decreases at a steady rate.

Front

What is the difference between linear and non-linear functions?

Back

Linear functions have a constant rate of change and graph as straight lines, while non-linear functions have varying rates of change and can graph as curves.