9) Given the function f(x) = -4(x + 7) (#7), describe the domain, range, end behavior, intervals where graph is positive, intervals where graph is negative, intervals where graph is increasing, and intervals where graph is decreasing,

Q: Find the intervals in which the function f(x)=3x -18x² +7 is increasing/decreasing. Also find the…

A: For function f(x) you can find the intervals in which f(x) increases by solving f'(x) > 0. For…

Q: 8х + 7 State the domain of the function f(x) = in interval notation. 9х + 2

A: A detailed solution is given below

Q: 3) Without a graph, how can one show differentiability of a function at a point? 4) Where is the…

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Q: The graph of f is given above. Which statement regarding the local (or relative) minimum of f is…

A: Relative minima is the point where slope of the graph is zero and there is a change from negative…

Q: Identify the open intervals on which the function is decreasing. (Enter your answers using interval…

A: Let f(x)=y. Differentiate the function with respect to x, to find f'(x).…

Q: Find intervals where f(x) = 2x3 - 18 x is increasing or decreasing. %3D Increasing Decreasing Done

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Q: (3 - 35. f(x) = if x 2

A: We need to sketch the graph of the following function :

Q: Find the absolute maximum and absolute minimum values of the function, if they exist, over the…

A: Let us consider the given function f(x). The maxima and minima is obtained as, If f''(x)>0 then…

Q: Find f'(x). f(x) = x5 – 2x3 + x – 1 %3D f'(x) = Compare the graphs of f and f' and use them to…

A: Given: f(x)=x5-2x3+x-1 To find: f'(x)

Q: 4. Find xandy intercepts, intervals of monotoncity, local extreme value, intervals of concavity,…

A: Given: f(x)=3x2x2-x-2. X-intercept: We know to find x-intercept, put y=0 : Therefore, 0=3x2x2-x-2…

Q: What is the maximum or minimum value and the range of the function for the graph? 10 5432 23456 O…

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Q: Find f'(x). f(x) = x5 – 4x3 + x – 1 f'(x) = Compare the graphs of f and f' and use them to explain…

A: Given :            f(x) = x5 - 4x3 + x - 1   To find : f'(x)

Q: create a graph with labels of a function that  satisfies:  have one point where f(x)=-3, at least…

A: Question- create a graph with labels of a function that satisfies:    have one point where f(x)=-3,…

Q: escribe the end behavior of the graph of the function  a) f(x)= -4(8)^x -3 as x-->negative…

A: Given function  f(x)=-48x-3

Q: 5) State the intervals of concavity in the function g(x) = (x – 9) 2/3.

A: Answer and explanation is given below

Q: What is the absolute maximum on the curve x2 4х — 7 on the interval [-7, -3]?

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Q: The domain of the piecewise function is (- ∞, ∞). Solve, a. Graph the function. b. Use your graph to…

A: Given piecewise function is fx=xif x<0-xif x≥0 Domain of x is -∞,∞. (a) We have to graph the…

Q: We have to graph the function f(x)=xln(x2). f(x)=xlnx2. Also, label all absolute/local max/mins,…

A: inflection points : No inflection point end behavior: no end behavior since f is not polynomial X…

Q: My graph is decreasing on (- ∞, a) and increasing on (a, ∞), so f(a) must be a relative…

A: Given The graph is decreasing on (- ∞, a) and increasing on (a, ∞), so f(a) must be a relative…

Q: If f"(2) = 0 then explain how the graph of f might NOT have a point of inflection at x = 2. %3D

A: to find the inflection point we take f''(x)=0, but not for all values of x  when the graph of f''(x)…

Q: 2. If f"(2) = 0 then explain how the graph of f might NOT have a point of inflection at x = 2.

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Q: Find the intervals on which f(x) = x(x + 3)(x – 1) is positive by plotting a graph. (Enter your…

A: Given - A function To Find - Interval for f(x)>0

Q: Find f'(x). F(x) = x5 – 4x3 + x - 1 f'(x) = Compare the graphs of f and f' and use them to explain…

A: Given, f(x)=x5-4x3+x-1

Q: My graph is decreasing on (- ∞, a) and increasing on (a, ∞), so f (a) must be a relative maximum.…

A: Relative maximum is a point where the function changes direction from increasing to decreasing,…

Q: Give three characterizations of what it means for the graph of f (x) to be concave up at x = 2.…

A: Consider the given information as The graph of fxto be concave up at x=2. Concave down.

Q: find the intervals on which f(x) is increasing and decreasing. then sketch the graph. f(x) = 7 --…

A: We use first derivative to find out where function increasing or decreasing  when f'(x)<0 then…

Q: The absolute minimum value of  f(x) = (x3/3) - ( 5x2/2) - 6x  on [-1,3] is?

A: fx=x33-5x22-6x,   -1, 3 Differentiating with respect to x, we get f'x=133x2-522x-61=x2-5x-6 Now to…

Q: Consider the function f(x) = 2x° + 9x² – 108x +1 with - 6 <x < 4 | This function has an absolute…

A: Given, f(x) = 2x3 + 9x2 - 108x + 1  Plot the function on the interval -6&lt;= x &lt;= 4. For solving…

Q: Explain how the graph of the function f(x) = - - can be obtained from the graph of y = Then graph f…

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Q: Sketch the graph of f(x) = x3 − 6x2 + 12x − 11. Determine the domain, critical points, symmetry,…

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Q: The piecwise function g(x) is defined by x + 2 when x 1. What type of discontinuites are present in…

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Q: Find the absolute maximum value and absolute minimum value of the function f(x) = x3 on the interval…

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Q: What is the absolute maximum and minimum value of f(x)= x^2-1 on [-1,6)

A: The given function is f(x)=x2-1 and the interval is [-1,6)

Q: A company has identified that the revenue R for a particular product is given by the function f(x) =…

A: Solution is here

Q: A manufacturer finds that the revenue generated by selling x units of a certain commodity is given…

A: Recall the following. A quadratic function fx=ax2+bx+c can be expressed in the standard form…

Q: Find the range of the function for the domain {−2,0,4}. Show your work. f(x)=5x2+4

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Q: 6. Determine the x-value of the absolute minimum of f(x) = -2x4 + 4x³ - 1 on the closed interval…

A: Given:       fx=-2x4+4x3-1     f'x=ddx-2x4+4x3-1    f'x=-8x3+12x2

Q: Find the maximum and minimum values of the function y = V8 + x2 - 4x on the interval 3, 5|. (Use…

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Q: Determine from the graph whether the function has any absolute extreme values on [a, b]. Then…

A: For given graph, Absolute Maximum is at x = d. and  Absolute minimum does not exist.

Q: Sketch the function f(x) =xln(x2). Use calculator or desmos to graph, it's okay. Label all…

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Q: Sketch the graph of f'(x) for f(x) = x³ + x³ . Label at least 3 points on this graph .

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Q: · Explain why the function f(x) interval [-2, 2]. Find the absolute maximum and minimum values. =…

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Q: Find the absolute maximum and minimum values of function f(x)=x2+6x−5 on interval [-5,2]. If an…

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Q: Determine the open intervals on which the graph is concave upward or concave downward.…

A: Concave upward on (-inf,-6) and concave downward on (-6,inf).

Q: A manufacturer finds that the revenue generated by selling x units of a certain commodity is given…

A: At maxima or minima of a function f(x), f'(x)=0

Q: 8х + 7 State the domain of the function f(x) in interval notation. 9ж + 2

A: Given,f(x)=8x+79x+2

Q: point

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Q: If f (x) is the function whose graph is shown, on which interval is fincreasing? Use cursor to…

A: f(x) is the function whose graph is shown, on which interval is f increasing?

Q: Find x and y intercepts,intervals of monotoncity,local exterme value,intervals of…

A: Substitute x=0 and y=0 separately and solve for y and x respectively. Determine the critical points.…

Q: 5. Define the function f(x) = |x| • |x – 3| piecewise without absolute value bars and graph.

A: Use the definition of modeule of a function on each factor and combined them