Question

Find the average rate of change of a function that contains the points (-2,3) and (2,5)

Answer 1

Answer: $\frac{1}{2}$

Step-by-step explanation:

Rate of change are typically found using $\frac{y_{2} -y_{1}}{x_{2}-x_{1} }$.

$(x_{1}, y_{1}) = (-2, 3)\\(x_{2}, y_{2}) = (2, 5)\\\\\frac{5-3}{2-(-2)} =\frac{2}{2+2} =\frac{2}{4} =\frac{1}{2}$

Therefore, the rate of change(aka slope) is $\frac{1}{2}$.