Describing Functions

Front

What are the types of intervals that a function can demonstrate?

Back

Increasing, constant, decreasing.

Front

What is a linear function?

Back

A function that graphs to a straight line, having a constant rate of change.

Front

What is a nonlinear function?

Back

A function that does not graph to a straight line, having a variable rate of change.

Front

How can you determine if a function is increasing?

Back

A function is increasing if its output values rise as the input values increase.

Front

What does it mean for a function to be constant?

Back

A function is constant if its output values remain the same regardless of the input values.

Front

What is the general form of a linear function?

Back

Front

What is the general form of a nonlinear function?

Back

Front

How do you identify the intervals of increase and decrease on a graph?

Back

By analyzing the slope of the graph; if the slope is positive, the function is increasing; if negative, it is decreasing.

Front

What is the significance of the vertex in a quadratic function?

Back

The vertex represents the maximum or minimum point of the parabola, indicating the highest or lowest value of the function.

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input has exactly one output.