Answer:
Slope is positive for all x, so always increasing
Step-by-step explanation:
Increasing/decreasing depends on the slope of the function, which is f'
f'(x) = 9x² + 18x + 25
If f'(x) > 0 for all x, then his claim is correct (increasing for all x)
If there's even 1 x-value for which f'(x) is not positive, his claim is incorrect
f'(x) is a quadratic function.
9x² + 18x + 25
9(x² + 2x) + 25
9(x² + 2(x)(1) + 1² - 1²) + 25
9(x + 1)² - 9 + 25
9(x + 1)² + 16
Since the minimum value of f' is 16, it's always positive.
Hence, the claim is correct
Since 74% of the middle area is bounded, this means that
there is 13% on the left side, and another 13% on the right side.
P (left) = 0.13
P (right ) = 1 - 0.13 = 0.87
At this P values, the z scores are approximately:
z score (left) = -2.22
<span>z score (right) = 1.13</span>
Using the cube formula for volume I got V=3.38cm^3
The difference quotient for the function f(x) is 
Given :
Difference quotient formula

Given function 
find the difference quotient using the formula
first we find out f(x+h) using given f(x)
replace x with x+h

Now replace it in our formula and also replace f(x)

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