1. Estimate the slope of the graph at the points ( x 1 , y 1 ) and ( x 2 , y 2 )
ID: 2871820 • Letter: 1
Question
1. Estimate the slope of the graph at the points
(x1, y1) and (x2, y2).
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2. Describe the x-values at which the function is differentiable.
y = 9x2/5
The function is differentiable for all x ±9.
The function is differentiable for all 0 < x < 9.
The function is differentiable for all x-values.
The function is differentiable for all x 0.
The function is differentiable for all -9 < x < 0.
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Consider the following function.
f(x) = |x 2|
Find the derivative from the left at x = 2. If it does not exist, enter NONE.
Find the derivative from the right at x = 2. If it does not exist, enter NONE.
Is the function differentiable at x = 2?
Yes or No
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Identify a function f that has the given characteristics.
f(–5) = f(4) = 0; f '(-0.5) = 0, f '(x) < 0 for x < -0.5; f '(x) > 0 for x > -0.5
f(x) =
Sketch the function.
Explanation / Answer
Post one more question to get the remaining answer. Thanks
1)
The line passing through (x1,y1) is parallel to x-axis then the slope will be equal to ZERO
The second line (x2,y2) passes through (0,-3) and (1.5,1)
Slope of the line = (y2-y1)/(x2-x1) = (1 + 3)/(1.5) = 4/1.5 = 8/3
2)
The function is not differentiable at x=0, hence the function is differentiable for all points, x not equal to zero
Hence correct answer is Option D
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