HW #33 - Rate of Change

Front

What is a function?

Back

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

Front

What is a relation?

Back

A relation is a set of ordered pairs, which can show how two quantities are related.

Front

What does it mean for a mapping to be a function?

Back

A mapping is a function if every input is associated with one and only one output.

Front

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

Back

No, because the input '1' is associated with two different outputs (5 and 7).

Front

What is the rate of change?

Back

The rate of change describes how one quantity changes in relation to another quantity.

Front

How do you calculate the rate of change?

Back

Rate of change = (Change in y) / (Change in x).

Front

If a car travels 100 miles in 2 hours, what is the rate of change?

Back

Rate of change = 100 miles / 2 hours = 50 miles per hour.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line, represented by the equation y = mx + b.

Front

What is the slope of a line?

Back

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

Front

What does a negative rate of change indicate?

Back

A negative rate of change indicates that as one quantity increases, the other quantity decreases.