For each function in Exercises 1-16 , (a) find the simplified from of the different of the different quotient and then (b) complete the following table, x h f ( x + h ) − f ( x ) h 5 2 5 1 5 0.1 5 0.01 f ( x ) = x 2 − 3 x + 5 a. (a) 2 x + h − 3 b. (b) 9 , 8 , 7.1 , 7.01
For each function in Exercises 1-16 , (a) find the simplified from of the different of the different quotient and then (b) complete the following table, x h f ( x + h ) − f ( x ) h 5 2 5 1 5 0.1 5 0.01 f ( x ) = x 2 − 3 x + 5 a. (a) 2 x + h − 3 b. (b) 9 , 8 , 7.1 , 7.01
Solution Summary: The author explains the simplified form of the difference quotient of f(x) = 2-3x+5.
For each function in Exercises 1-16, (a) find the simplified from of the different of the different quotient and then (b) complete the following table,
Evaluate the difference quotient for the following function.
f(x) = 4x² - x
First, find
f(x + h) - f(x)
h
4 (z + h) ² − (z + h) − ( 4z² − z)
4(a+h)²-(x+h)-(4x²-x)
h
Next, simplify the numerator.
(8x+4h-1)
Divide out the h.
8x +4h-1
So now, find the limit
lim
A-0
f(x+h)-f(x)
h
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3.
Give the function, f(x)=x²+5x-24
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a.
orlt novia
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notation to evaluate for inputs and outputs of
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