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Which of the following is the formula for getting the average rate of change for a linear function?
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
m=y2−y1x2−x1m=\frac{y_2-y_1}{x_2-x_1}m=x2−x1y2−y1
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 linear functions is also known as _____________.
Constant
Slope
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.
Average Rate of Change
Instantaneous Rate of Change
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.
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)
The average rate of change of a quadratic function is also called the slope.
The average rate of change of a quadratic function changes over different intervals.
The average rate of change of a linear function does not change over different intervals.
It is done.