Functions and Analyzing Graphs

Front

What does a graph with a horizontal line represent?

Back

Not moving (constant position over time)

Tags

CCSS.HSF.IF.B.4

Front

What does a graph that slowly increases at a constant rate look like?

Back

A straight line with a positive slope.

Tags

CCSS.8.EE.B.5

Front

What does a graph that slowly decreases at a constant rate look like?

Back

A straight line with a negative slope.

Tags

CCSS.8.EE.B.5

Front

How can you determine if a function represented by a table is linear or nonlinear?

Back

If the differences between consecutive outputs are constant, it is linear; if not, it is nonlinear.

Tags

CCSS.8.F.A.3

Front

At what time did runner A pass runner B if their positions are represented on a graph?

Back

The time is indicated by the point where their lines intersect.

Tags

CCSS.8.EE.C.8C

Front

What is a function?

Back

A relation where each input has exactly one output.

Tags

CCSS.8.F.A.1

Front

What is the difference between linear and nonlinear functions?

Back

Linear functions have a constant rate of change; nonlinear functions do not.

Tags

CCSS.8.F.A.3

Front

What does the slope of a line represent in a graph?

Back

The rate of change of the dependent variable with respect to the independent variable.

Tags

CCSS.8.EE.B.5

Front

What is the y-intercept of a graph?

Back

The point where the graph crosses the y-axis.

Front

What does it mean for a function to be increasing?

Back

The output values rise as the input values increase.