a) The domain of the function.b) Ordered pairs for all intercepts.c) Equations for all vertical/horizontal asymptotes, if they existd) Intervals where the function is increasing/decreasinge) Ordered pairs for all local extremaft) Intervals where the function is concave upward/concave downwardg) Ordered pairs for all inflection points.h) The graph of the function, demonstrating the behaviors as found in parts a) through g)I. f(x)-x3-12x2 + 36X2x2-9523. h(x) -xs - 5x3

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Asked Mar 29, 2019
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Hi, I keep submitting the same question regarding Q#3 f to H and landed all 3 different answers on Bartleby. Some experts said the inflection point is (-1,-6) while others got (-1.5,-8.52). Also for the concavity as well. I got one answer that was concave up on (-1.5,0)U(0,inf) and function is concave down on (-inf, -1.5),  concave upward on  (-1, 0) and concave downward on (- ∞, -1)  and (0, ∞), and concave downwards in the interval (−∞, −1) and concave upwards in the interval (−1, ∞). I do not know which was is correct since they're all different. Please help me clarify this issue as it affects my graph. Thank you

a) The domain of the function.
b) Ordered pairs for all intercepts.
c) Equations for all vertical/horizontal asymptotes, if they exist
d) Intervals where the function is increasing/decreasing
e) Ordered pairs for all local extrema
ft) Intervals where the function is concave upward/concave downward
g) Ordered pairs for all inflection points.
h) The graph of the function, demonstrating the behaviors as found in parts a) through g)
I. f(x)-x3-12x2 + 3
6X
2
x2-9
5
2
3. h(x) -xs - 5x3
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a) The domain of the function. b) Ordered pairs for all intercepts. c) Equations for all vertical/horizontal asymptotes, if they exist d) Intervals where the function is increasing/decreasing e) Ordered pairs for all local extrema ft) Intervals where the function is concave upward/concave downward g) Ordered pairs for all inflection points. h) The graph of the function, demonstrating the behaviors as found in parts a) through g) I. f(x)-x3-12x2 + 3 6X 2 x2-9 5 2 3. h(x) -xs - 5x3

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Expert Answer

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Step 1

Since, you have requested for question 3 part f to h, we will solve these parts of the solution.

Step 2

First find the interval for the function h(x)=x^(5/3)-5x^(2/3) where the function is concave upward or concave downward.

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Step 3

The above derivative of the function is undefined at x=0. The graph of the break at the point x=0 and x=-1 into three interval which is as (-inf, -1), (-1, 0) and (0, -inf). Now, check the value of second derivative for particular point in the int...

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