Determining the average rate of change? Yeah, need help solving this one... A function is given below. Determine the average rate of change of the function between x = 1 and x = 7. g(x)= 3 + 1/2x

luxlivinglm

luxlivinglm

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2022-08-25

Determining the average rate of change?
Yeah, need help solving this one...
A function is given below. Determine the average rate of change of the function between x = 1 and x = 7.
g(x)= 3 + 1/2x

Answer & Explanation

Terry Avery

Terry Avery

Beginner2022-08-26Added 10 answers

Suppose that g(1)=4 and g(7)=2. (Neither of these is true, but I’ll use them to illustrate what’s going on.) Then the function has changed by 2−4=−2 units between x=1 and x=7. That’s −2 units of change in g while x changed by 7−1=6 units, so on average g changed by 2 6 = 1 3 of a unit every time x increased by 1 unit. That is, the average rate of change was 1 3 (units change in g per 1-unit change in x).
Now you try it with the actual values of g(1) and g(7).

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