Approximate Rate of Change Practice Problems Online

What is the average rate of change of the function $f(x)=6x^2+px+q$ on the interval $[a,b] ?$

Given the symmetric difference quotient, $f'(a) \approx \frac{f(a+h)-f(a-h)}{2h},$ approximate $f'(2)$ using the symmetric difference quotient for the function $f(x)=x^4$ with $h=0.04.$

What is the average rate of change of the function $y=2x^2+7$ when the value of $x$ changes from $5$ to $7?$

What is the slope of the secant line that passes through the two points $(x,f(x))$ on the graph of the function $f(x)=x^2,$ for $x=2$ and $x=2.004?$

If $f(x)=-7x+3,$ what is the average rate of change of $f(x)$ when $x$ changes from $4$ to $7?$

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Approximate Rate of Change

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