Show ALL work to receive rating. Thanks! 1. Let f(x) = -4x^3+6x^2 a) Where is f(x)...
Show ALL work to receive rating. Thanks!
1. Let f(x) = -4x^3+6x^2
a) Where is f(x) increasing/decreasing? Make a sign chart.
b) Classify the critical points as local max, local min, or
neither.
c) Where is f(x) concave up/concave down? Does it have any points
of inflection?
d) Use the information above to sketch the curve. Note that f(1/2)
= 1. Be sure your graph includes the x and y intercepts if they
exist.
Homework Answers
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Show ALL work to receive rating. Thanks!
1. Let f(x) = -4x^3+6x^2
a) Where is f(x)...
2. Use the information in the charts to answer the following questions and sketch the graph...
2. Use the information in the charts to answer the following questions and sketch the graph of the function f(x) a) List all the critical points (both coordinates) and classify them as max, min, or neither b) List all the inflection points - ND + + ND - 0 + S. Sketch the graph of each given function by doing the following (box your answer to each of the questions) 1. Determine the domain of the function. Use limits to...
6. Consider the function f(x) = x3 - 10x (a) (3 pts) Find f '(x) (b)...
6. Consider the function f(x) = x3 - 10x (a) (3 pts) Find f '(x) (b) (9 pts.) Find the intervals where f(x) is increasing/decreasing, and classify any local max/min. (c) (3 pts) Find f '(x) (d) (9 pts.) Find the intervals where f(x) is concave up/down and classify any inflection points. Using the information from parts a-d only, sketch the graph of y=f(x).
7. [23] Given the following function:: f(x)-x-4x +6 (a) Find all of the critical points of...
7. [23] Given the following function:: f(x)-x-4x +6 (a) Find all of the critical points of this function. Show your work. (b) Characterize each of the critical points as a local maximum, a local minimum or neither. Show your work. (c) Find all of the inflection points of this function (verify that it/they are indeed inflection points). (d) On what interval(s) is this function both decreasing and concave down? on the interval -15xs1. Show (e)Find the global maximum and minimum...
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I want all the working, Thankyou 1. Investigate the function based on the properties below. Then...
I want all the working,
Thankyou
1. Investigate the function based on the properties below. Then sketch the graph of this function. f(x)=+ In x 1.1 Domain: 1.2 Intercepts. 1.3 Symmetry. 1.4 Asymptotes. 1.5 Intervals where f(x) increasing/decreasing 1.6 Critical #. 1.7 Local max/min 1.8 Concavity 1.9 Inflection Points
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question 8 has parts (A-I)
Problem 8. 1 point) Suppose that f(x) (9 6x)e Note: Several parts of this problem r (A) List all the critical values of fx) Note: If there are no critical values, enter NONE require answers entered in interval notation. Note, with interval notation, you can enter the empty set as (B) Use interval notation to indicate where f(z) is increasing increasing (C) Use interval notation to indicate where f(z) is decreasing Decreasing (D) List the...
You are given f(x) = x² – 3 Note that the formula is for f, not...
You are given f(x) = x² – 3 Note that the formula is for f, not for f'. 1. Find the critical points of the function. Note: There are some points where f' does not exist because, at those points, f doesn't exist either. Those points are NOT critical points, but they are needed for the next step. 2. Make a sign chart for f'. Note: Along with critical points, your sign chart must also include all points where f'...
Sketch the graph of the function f(x) - (2-6)(x+3) 9(2+2) A sketch need not be exact...
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6. For a certain function f(x) we have: f'(x) = (x - 3)²(2x - 3) and...
6. For a certain function f(x) we have: f'(x) = (x - 3)²(2x - 3) and • f"(x) = 6(x - 3)(x - 2) (a) Use f' to find the intervals where f is increasing, the intervals where f is decreasing, the x- coordinates and nature (max, min or neither) of any local extreme values. (b) Use f" to find the intervals where the graph of f is concave up, the intervals where the graph of f is concave down...
Please help I cannot get this problem to work. f(x)=3x^4-43x^3+55x^2 f'(x)=12x^3-129x^2+110x Incr...
Please help I cannot get this problem to work. f(x)=3x^4-43x^3+55x^2 f'(x)=12x^3-129x^2+110x Increasing and decreasing : increasing (0,0.93),(9.82,infinity) decreasing (-infinity,0),(0.93,9.82) it is still telling me I am wrong I am not sure where I am going wrong. Concave up and Concave down f''(x)=36x^2-258x Local Maxima and Local minima Inflection points x and y intercepts
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7. [23] Given the following function:: f(x)-x-4x +6 (a) Find all of the critical points of this function. Show your work. (b) Characterize each of the critical points as a local maximum, a local minimum or neither. Show your work. (c) Find all of the inflection points of this function (verify that it/they are indeed inflection points). (d) On what interval(s) is this function both decreasing and concave down? on the interval -15xs1. Show (e)Find the global maximum and minimum...
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I want all the working,
Thankyou
1. Investigate the function based on the properties below. Then sketch the graph of this function. f(x)=+ In x 1.1 Domain: 1.2 Intercepts. 1.3 Symmetry. 1.4 Asymptotes. 1.5 Intervals where f(x) increasing/decreasing 1.6 Critical #. 1.7 Local max/min 1.8 Concavity 1.9 Inflection Points
question 8 has parts (A-I)
Problem 8. 1 point) Suppose that f(x) (9 6x)e Note: Several parts of this problem r (A) List all the critical values of fx) Note: If there are no critical values, enter NONE require answers entered in interval notation. Note, with interval notation, you can enter the empty set as (B) Use interval notation to indicate where f(z) is increasing increasing (C) Use interval notation to indicate where f(z) is decreasing Decreasing (D) List the...
You are given f(x) = x² – 3 Note that the formula is for f, not for f'. 1. Find the critical points of the function. Note: There are some points where f' does not exist because, at those points, f doesn't exist either. Those points are NOT critical points, but they are needed for the next step. 2. Make a sign chart for f'. Note: Along with critical points, your sign chart must also include all points where f'...
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