Is it a Function? Is it Linear? Distance Rate

Front

What is a function?

Back

A relation where each input (x-value) has exactly one output (y-value).

Tags

CCSS.8.F.A.1

Front

What is not a function?

Back

A relation where at least one input (x-value) has more than one output (y-value).

Tags

CCSS.8.F.A.1

Front

How can you determine if a relation is a function using a graph?

Back

If any vertical line intersects the graph at more than one point, it is not a function.

Front

What does it mean for a relation to be linear?

Back

A relation is linear if it can be represented by a straight line on a graph.

Tags

CCSS.8.F.A.3

Front

What is the slope of a line?

Back

The slope is a measure of the steepness of a line, calculated as the rise over run.

Tags

CCSS.8.EE.B.5

Front

What is the equation of a linear function?

Back

The equation of a linear function can be expressed in the form y = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What is a mapping in mathematics?

Back

A mapping is a relation that pairs each element of one set with an element of another set.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

What is the difference between a function and a mapping?

Back

All functions are mappings, but not all mappings are functions. A mapping can have multiple outputs for a single input.

Tags

CCSS.8.F.A.1

Front

What does it mean for a graph to be non-linear?

Back

A graph is non-linear if it cannot be represented by a straight line, indicating a changing rate of change.

Tags

CCSS.8.F.A.3

Front

What is the distance-rate-time formula?

Back

The formula is Distance = Rate × Time.

Tags

CCSS.8.EE.C.7B