Find the average rate of change for the function between the given values.
-$$f ( x ) = 4 x ^ { 2 } ; \text { from } 0 \text { to } \frac { 7 } { 4 }$$
A) $- \frac { 3 } { 10 }$
B) $\frac { 1 } { 3 }$
C) 7
D) 2

Question

Quizplus · Accepted Answer

The average rate of change is calculated as $\frac{f(b) - f(a)}{b - a}$. Here, $f(x) = 4x^2$, $a = 0$, and $b = \frac{7}{4}$. So, $\frac{f(\frac{7}{4}) - f(0)}{\frac{7}{4} - 0} = \frac{4(\frac{7}{4})^2 - 4(0)^2}{\frac{7}{4}} = \frac{49}{4} \times \frac{4}{7} = 7$.

Find the Average Rate of Change for the Function Between f(x)=4x2; from 0 to 74f ( x ) = 4 x ^ { 2 } ; \text { from } 0 \text { to } \frac { 7 } { 4 }f(x)=4x2; from 0 to 47​

Find the Average Rate of Change for the Function Between $f ( x ) = 4 x ^ { 2 } ; \text { from } 0 \text { to } \frac { 7 } { 4 }$