Interpreting Graphs of Functions

Front

What is a function in mathematics?

Back

A function is a relation that assigns exactly one output for each input.

Tags

CCSS.8.F.A.1

Front

What does the x-axis represent in a graph?

Back

The x-axis typically represents the independent variable or input of a function.

Tags

CCSS.HSF.IF.B.5

CCSS.8.F.A.1

Front

What does the y-axis represent in a graph?

Back

The y-axis typically represents the dependent variable or output of a function.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Front

What is an x-intercept?

Back

An x-intercept is a point where the graph crosses the x-axis, meaning the output (y) is zero.

Front

What is a y-intercept?

Back

A y-intercept is a point where the graph crosses the y-axis, meaning the input (x) is zero.

Front

What does it mean when a graph is increasing?

Back

A graph is increasing when the output values rise as the input values increase.

Tags

CCSS.8.EE.B.5

Front

What does it mean when a graph is decreasing?

Back

A graph is decreasing when the output values fall as the input values increase.

Tags

CCSS.8.EE.B.5

Front

What does it mean when a graph is constant?

Back

A graph is constant when the output values remain the same regardless of the input values.

Tags

CCSS.8.EE.B.5

Front

How can you tell if an object is moving faster on a graph?

Back

An object is moving faster if the slope of the graph is steeper.

Tags

CCSS.8.EE.B.5

Front

What does a flat line on a graph indicate?

Back

A flat line indicates that the object is not moving.

Tags

CCSS.HSF.IF.B.4