Question

I need help A. -3 B. 3 C. -2D. -10

Answer 1

The average rate of change can be calculated as the division of the output of the function on the interest interval by the size of the interval. To do that we have to find the value of "y" at the end of the interval and subtract it by the value of "y" at the beggining. This is shown as an expression below:

`\text{average rate of change=}\frac{y_{\text{ final}}-y_{\text{ initial}}}{x_{\text{ final}}-x_{\text{ initial}}}`

For this function the values of x are:

`\begin{gathered} x_{\text{ initial}}=0 \\ x_{\text{ initial}}=3 \end{gathered}`

The values for y are:

`\begin{gathered} y_{\text{ initial}}=10 \\ y_{\text{ final}}=1 \end{gathered}`

Using these values we can calculate the average rate of change:

`\text{average rate of change=}(1-10)/(3-0)=(-9)/(3)=-3`

The average rate of change for this function is approximately -3 for the given interval. The correct answer is A.