Is it a Function? Is it Linear? Distance Rate

Front

What is a function?

Back

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

Tags

CCSS.8.F.A.1

Front

Is the relation {(1,5),(1,7),(3,9),(4,11)} a function?

Back

No, because the x-value 1 has two different y-values (5 and 7).

Tags

CCSS.8.F.A.1

Front

What does it mean for a relation to not be a function?

Back

It means that at least one input (x-value) is associated with more than one output (y-value).

Tags

CCSS.8.F.A.1

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line, which can be expressed in the form y = mx + b.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

How can you identify a linear function from a graph?

Back

If the graph is a straight line, it represents a linear function.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What is the distance-rate formula?

Back

The distance-rate formula is d = rt, where d is distance, r is rate (speed), and t is time.

Tags

CCSS.8.EE.B.5

Front

If a runner travels at a speed of 5 m/s for 10 seconds, what distance do they cover?

Back

Using d = rt, the distance is d = 5 m/s * 10 s = 50 meters.

Tags

CCSS.HSF-LE.A.1B

Front

What is the slope of a linear function?

Back

The slope is the ratio of the rise (change in y) to the run (change in x) between two points on the line.

Tags

CCSS.8.EE.B.5

Front

How do you determine if a graph represents a constant speed?

Back

A graph represents constant speed if it is a straight line, indicating that distance changes at a constant rate over time.

Tags

CCSS.8.EE.B.5

Front

What is the difference between a function and a non-function?

Back

A function has one output for each input, while a non-function has at least one input with multiple outputs.

Tags

CCSS.8.F.A.1