He graph of cube root function m is shown. compare the average rate of change of m to the average rate of change of h(x)=6x−−√3 over the interval x=0 to x=3. round your answer to the nearest hundredth
Item 6
The graph of cube root function $m$ is shown. Compare the average rate of change of $m$ to the average rate of change of $h\left(x\right)=\sqrt[3]{6x}$ over the interval $x=0$ to $x=3$ . Round your answer to the nearest hundredth.
Answers
Answer:
The average rate of change of function fff over the interval a\leq x\leq ba≤x≤ba, is less than or equal to, x, is less than or equal to, b is given by this expression:
\dfrac{f(b)-f(a)}{b-a}
b−a
f(b)−f(a)
start fraction, f, left parenthesis, b, right parenthesis, minus, f, left parenthesis, a, right parenthesis, divided by, b, minus, a, end fraction
It is a measure of how much the function changed per unit, on average, over that interval.
It is derived from the slope of the straight line connecting the interval's endpoints on the function's graph.
He graph of cube root function m is shown. compare the average rate of change of m to the average rate of change of h(x)=6x−−√3 over the interval x=0 to x=3. round your answer to the nearest hundredth
Item 6
The graph of cube root function $m$ is shown. Compare the average rate of change of $m$ to the average rate of change of $h\left(x\right)=\sqrt[3]{6x}$ over the interval $x=0$ to $x=3$ . Round your answer to the nearest hundredth.