- #1
zebra1707
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Homework Statement
Original function f(x) = -x^2+5x-2
I have calculated the difference quotient as -2x-h+5
Then use difference quotient to calculate the average rate of change:
for the following x=2 and x=2+h
I need this to go on to the next part of the question and i wanted to ensure that I calculated this correctly
Homework Equations
f(x+h)-f(x)
h
The Attempt at a Solution
Change in x = 2+h-2 = h
Change in y = plugged f(2+h)-f(2) into the original function
= -h^2-4h-4+10+5h-2-4 = -h^2+h
Δy/Δx = (-h^2+h)/(h) = -h+1 or 1-h (not sure which format is correct)?
Plug answer back into to the difference quotient - answer is consistent with DQ formula
If this is correct I need to then answer the following question which is:
as h approaches 0 what numerical value does
f(2+h)-(2) approach
h
The question is where do I start?
Cheers