Suppose that \(\displaystyle{f{{\left({x}\right)}}}={t}^{{{2}}}+{3}{t}-{7}\). What is the average

markush35q

markush35q

Answered question

2022-04-03

Suppose that f(x)=t2+3t7. What is the average rate of change of f (x) over the interval 5 to 6?

Answer & Explanation

jmroberts70pbo2

jmroberts70pbo2

Beginner2022-04-04Added 10 answers

Explanation:
The average rate of change of a function is the same as the total change over the total time, i.e. the rate is
r=f(x)x=f(6)f(5)65=f(6)f(5)=4733=14
Melody Gamble

Melody Gamble

Beginner2022-04-05Added 10 answers

Explanation:
the average rate of change is a measure of the slope of the secant line in the closed interval [a,b]
average rate of change =f(b)f(a)ba
here [a,b]=[5,6]
f(b)=f(6)=36+18-7=47
f(a)=f(5)=25+15-7=33
473365=14

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