what is the rate of change of the function
enter as a fraction
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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.
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(-5,\:18\right),\:\left(x_2,\:y_2\right)=\left(-3,\:23\right)[/tex]
[tex]m=\frac{23-18}{-3-\left(-5\right)}[/tex]
[tex]m=\frac{5}{2}[/tex]
Thus, the rate of function is: 5/2