A few days ago
Help with my math homework on functions?
So, I know how to get the answer of this problem:
f(x)=5x+7
Evaluate f(x+h)-f(x)/h
The answer is 5. However, I noticed that in every similiar problem, the answer is always the same as the slope of the linear function. Can someone please explain why?
Top 1 Answers
A few days ago
Favorite Answer
I can show you this mathematically
let f(x) = mx + b
f(x+h) = m(x+h) + b = mx + mh + b
f(x+h) – f(x) = (mx + mh + b) – (mx + b)
= mx + mh + b – mx – b
= mh
f(x+h) – f(x) / h = mh / h = m
I hope this helped
Kia
1
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