Average Rate of Change Review

Front

What is the definition of Average Rate of Change?

Back

The Average Rate of Change of a function over an interval is the change in the function's value divided by the change in the input value over that interval.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as the x-value increases, the y-value also increases.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as the x-value increases, the y-value decreases.

Front

What does a slope of zero indicate?

Back

A slope of zero indicates a horizontal line, meaning there is no change in the y-value as the x-value changes.

Front

What does an undefined slope indicate?

Back

An undefined slope indicates a vertical line, meaning the x-value does not change as the y-value changes.

Front

How do you calculate the slope between two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

Given the points (3, 18) and (0, 18), what is the slope?

Back

The slope is 0.

Front

If a line has a slope of -1, what does this tell you about the line?

Back

The line decreases at a rate of 1 unit down for every 1 unit it moves to the right.

Front

What is the formula for finding the Average Rate of Change?

Back

Average Rate of Change = (f(b) - f(a)) / (b - a) for the interval [a, b].

Front

If the Average Rate of Change is 7/3, what does this mean?

Back

It means that for every 3 units of change in the x-direction, the function's value changes by 7 units in the y-direction.