Intervals and Sketching Functions HW

Front

What are the types of intervals in a graph?

Back

Increasing, Constant, Decreasing.

Front

What is a function?

Back

A relation where each input has exactly one output.

Front

Is the graph of a vertical line a function?

Back

No, it fails the vertical line test.

Front

What does it mean for a function to be increasing?

Back

The output values increase as the input values increase.

Front

What does it mean for a function to be constant?

Back

The output values remain the same regardless of the input values.

Front

What does it mean for a function to be decreasing?

Back

The output values decrease as the input values increase.

Front

What is the vertical line test?

Back

A method to determine if a curve is a function by checking if any vertical line intersects the graph more than once.

Front

What does a graph that is always increasing look like?

Back

It slopes upwards from left to right.

Front

What does a graph that is always decreasing look like?

Back

It slopes downwards from left to right.

Front

What does a constant graph look like?

Back

It is a horizontal line.