Interpreting Functions

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

What does the graph of a function represent?

Back

The graph of a function represents the relationship between the input (x-axis) and output (y-axis) values.

Front

What is the rate of change in a function?

Back

The rate of change is a measure of how much the output value of a function changes for a change in the input value.

Front

What does a constant interval in a graph indicate?

Back

A constant interval indicates that the output value does not change as the input value changes.

Front

What does an increasing interval in a graph indicate?

Back

An increasing interval indicates that as the input value increases, the output value also increases.

Front

What does a decreasing interval in a graph indicate?

Back

A decreasing interval indicates that as the input value increases, the output value decreases.

Front

How do you determine the speed from a distance-time graph?

Back

Speed can be determined by calculating the slope of the line on a distance-time graph.

Front

What is the significance of the slope in a graph?

Back

The slope of a graph indicates the rate of change of the dependent variable with respect to the independent variable.

Front

What does it mean if a graph is flat (horizontal)?

Back

A flat (horizontal) graph indicates that the output value remains constant regardless of changes in the input value.

Front

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

Back

Intervals of increase and decrease can be identified by observing the direction of the graph's slope.