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Which of the following is the formula for calculating the average rate of change?
A(x)=f(x2)−f(x1)x2−x1A(x)=\frac{f(x_2)-f(x_1)}{x_2-x_1}A(x)=x2−x1f(x2)−f(x1)
A(x)=x2−x1f(x2)−f(x1)A(x)=\frac{x_2-x_1}{f(x_2)-f(x_1)}A(x)=f(x2)−f(x1)x2−x1
True or False:
The average rate of change of a linear function is also called the slope.
True
False
The average rate of change of a quadratic function changes over different intervals.
The average rate of change of a quadratic function does not change over different intervals.
This is a measure of how much the function changed per unit, on average, over that interval.
Average Rate of Change
Instantaneous Rate of Change
The average rate of change of linear functions is also known as _____________.
Constant
Slope
Which of the following is the formula for getting the average rate of change for a linear function?
m=y2−y1x2−x1m=\frac{y_2-y_1}{x_2-x_1}m=x2−x1y2−y1
This is the change in the rate at a particular instant, and it is the same as the change in the derivative value at a specific point.
The average rate of change of a linear function does not change over different intervals.
The average rate of change of a quadratic function is also called the slope.
It is done.