Question

what is the rate of change of the function

enter as a fraction


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Answer 1

Answer:

The rate of function is: 5/2                            

Step-by-step explanation:

As we know that the rate of change of a function is a ratio that compares the difference between the output values to the difference between the corresponding input values

rate of change = change in y-values / change in y-values

So, all we need is to find the slope between any two points as the slope is basically termed as the rate of change.

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(-5,\:18\right),\:\left(x_2,\:y_2\right)=\left(-3,\:23\right)$

$m=\frac{23-18}{-3-\left(-5\right)}$

$m=\frac{5}{2}$

Thus, the rate of function is: 5/2