51.0k views
3 votes
This app is not working it’s making me so mad

This app is not working it’s making me so mad-example-1

1 Answer

6 votes

\text{Average rate of change = -1}Step-by-step explanation:
\begin{gathered} \text{Given:} \\ f(x)=-3x^2+5x\text{ } \\ \text{the interval \lbrack}-1,\text{ 3\rbrack} \end{gathered}

Average rate of change is calculated using the formula:


\begin{gathered} =\text{ }\frac{f(b)\text{ - f(a)}}{b\text{ - a}} \\ \text{where b = large interval, a = small interval} \\ f(b)\text{ is the value of f(x) when x = b} \\ f(a)\text{ is the value of f(x) when x = a} \end{gathered}
\begin{gathered} a\text{ = -1, b = 3} \\ f(a)\text{ =f(-1)= -3}(-1)^2\text{ + 5}(-1) \\ \text{f(-1)= -3(}1)^{}\text{ - 5 = -3 - 5} \\ f(-1)\text{ = -}8 \end{gathered}
\begin{gathered} f(b)=f(3)=-3(3)^2\text{ + 5(3)}_{} \\ f(3)\text{ =-3(9) + 15 = -27 + 15} \\ f(3)\text{ = }-12 \end{gathered}

Substitute the values in the average rate of change:


\begin{gathered} Average\text{ rate of change }=\text{ }\frac{-12\text{ - (-8)}}{3\text{ }-(-1)} \\ Average\text{ rate of change }=\text{ }\frac{-12\text{ + 8}}{3\text{ + 1}} \\ Average\text{ rate of change }=\text{ }(-4)/(4) \\ Average\text{ rate of change }=\text{ -1} \end{gathered}

User Vijayant Bhatia
by
8.7k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories