# Calculus : Antiderivative and Rate of Change

Not what you're looking for? Search our solutions OR ask your own Custom question.

36)If the functions f and g are defines for all real numbers and f is an antiderivative of g, which statements are not true?

I If g(x)>0 for all x, then f is increasing.

II If g(z)=0 then f(x) has a horizontal tangent at x+a.

III If f(x)=0 for all x, then g(x)=0 for all x.

IV If g(x)=0 for all x, then f(x)=0 for all x.

V F is continuous for all x.

Please tell why correct ones are correct.

35) What is the average rate of change of the function f defined by f(x)=a00*2^x on the interval [0,4]? Please give step by step explaination.

Â© BrainMass Inc. brainmass.com December 24, 2021, 4:57 pm ad1c9bdddfhttps://brainmass.com/math/calculus-and-analysis/calculus-antiderivative-and-rate-of-change-18052

#### Solution Summary

An antiderivative is investigated and a rate of change is found.

$2.49