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.

Tags

CCSS.8.F.A.1

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.

Tags

CCSS.HSF.IF.A.1

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.

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

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.

Tags

CCSS.HSF.IF.B.4

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.

Tags

CCSS.8.EE.B.5

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.

Tags

CCSS.8.EE.B.5

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.

Tags

CCSS.8.EE.B.5

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.