9 Draw a graph of y = f(x) such that f(-2) = 5, f(1) = 0, and f(4) = 3. %3|

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A: Since f(x) should always be greater than x axis ⇒f(x)>0ax-x>0ax>xTake log both…

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A: Since you have asked multiple questions in single request.so we will answering only first question.

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A: Given: The function, fx,y=2x3+xy2+5x2+y2.

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A:

Q: Calculate y e-(x-3)-

A: Given,            y=e-x-3-x

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A:

Q: 2 The function f(x) is linear and it decreases for all values of x. On the coordinate plane, draw a…

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Q: Suppose the function y = f(x) is increasing on the interval (−1, 5).• Over what interval is the…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: find the net change in g between x=0 and x=7

A: Here we have to find the net change.

Q: Look at the given graph of the function V(x) from question 1 above. 150- -140+ -10- -120 -110 -100-…

A: By observing the graph ;

Q: 2 (2ху) dxdy

A:

Q: Let P=(x,y) be a point on the graph of y=x2-5  a) Express the distance d from P to the origin as a…

A: P=(x,y) be a point on the graph of y=x2-5

Q: The graph of f(x) and a line tangent to the curve at x = 4 are shown. If g(x) = f(x), evaluate…

A: Given graph is as follows where the red graph shows f(x)  and a line tangent to the curve at x=4.…

Q: 15) Match the graph with the correction function. (a) (x) = 4' - 5 (b) S(x) = 4' + 5 (c) (1) = 4-X +…

A: (a).    The given function is: f(x)=4x-5

Q: If n is positive and even, where is the graph of f(x) = xn increasing and where is it decreasing?

A: For f(x)= xn  where n is positive and even. for these type of function the general graph is given…

Q: Find the net change in the value of the function between the given inputs. g(t) = 1 - t2; from -2 to…

A: gt=1-t2 Now, g-2=1--22=-3 &amp; g5=1-52=-24

Q: 4. Determine the value of the constant k so that f(x) = e* (x + k) decreases on the intervals (- 0,…

A: we have to find value of k

Q: Graph the functions in excercise

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A: We have, Odd degree with negative leading coefficient.

Q: Suppose that the function y = f(x) is decreasing on the interval [ - 2, 7].(a) Over what interval is…

A: Given: Suppose that the function y = f(x) is decreasing on the interval [ - 2, 7].

Q: 49. Profit If the profit from the sale of x units of a product 200 x, what level(s) of production is…

A: Solve 49

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A: Topic:- function

Q: The graph of f(x) is given on the grid. Graph f'(x), its derivative. 05 4 -8 -7/-6 -5 -4 -3 -2 -1 I…

A:

Q: Use the given graph of the function to answer the question. 2, X. -7 -6 -4 -3 -2 -1 1 2 3 4 -D1 -2…

A: Consider the graph of a function

Q: Find the maximum rate of decrease of f at the point (1, 2). None of the above -2/2 2/2 8.

A: To find- Maximum rate of decrease of f at the point(1,2)

Q: 3. For what value of x does the graph of f (x) = e* – 2x have a horizontal tange

A: Solve the following

Q: . Sketch the graph of the unit step function, denoted by U and defined by U (x) = {0 1 if if x<0 0sx

A: Ux =0x&lt;01x≥0 So this step function is equal to 0 when time t is negative and is equal to 1 when…

Q: Use the graph of f(x) to evaluate the following: 4 3 1 f(x) 2 + LO X 6 The average rate of change of…

A:

Q: 3. If y = 2 x –-1, find the length of the graph of f from point z = 0 to z = 1.

A:

Q: A two-day environmental clean up started at 9AM on the first day. The number of workers fluctuated…

A: Given that the workers were paid 17 dollars per hour for work during the time period 9 am to 5 pm…

Q: 5. Create a graph of the function: t -1 %3D x+2 Ay

A: Given:         Equation is y=-1x+2below graph is plotted using online tool

Q: The location of the point of inflection in the graph of the function y = x ln x is

A: Given: y = x ln x

Q: f(x) = is the range in which the function is decreasing.

A: fx=exx Differentiating with respect to x, we get f'x=dexdx·x-dxdx·exx2…

Q: 14х y = Зх-6

A: Given:   To determine: excluded x value for the function.

Q: 5. Which of the following functions grows the slowest as x goes to infinity?

A:

Q: 7. Find the intervals of increasing/decreasing for the function f(x) = x'e*

A:

Q: The following graph shows the approximate number f'(t) of doctoral degrees per year awarded to women…

A: Given graph of f'(t)

Q: 5a3. Discuss the concavity and monotonicity (increase, Find all local extrema and inflection points…

A: To find: The all local extrema, inflection point, concavity and monotonicity of the function…

Q: Find the function f(x) given that f ′ (x) = e x + x and the graph of f passes through the point (0,…

A: Given: f'x=ex+x &amp; Px,y=0,3   As we know that; The Power rule: ∫xndx=xn+1n+1+C And…

Q: The interval in which the given function is decreasing is at 3 points y = x3 – x2 – 5x - 4 (-00, -1)…

A:

Q: Find the point of diminishing returns for the revenue function R(x)=-2/3(x^3-12x^2-6), 0 less than…

A: The given  revenue function is Rx=-23x3-12x2-6. in the interval 0≤x≤8. Since a point of diminishing…

Q: Find the level curve of the function at c=2 for g(x,y)=(x^3-y)

A: A scalar function g(x,y) is a rule that is used to associate a number or quantity with a particular…

Q: 30. The graph of y = x³ + 21x² – x + 1 is concave down for (a) x 7 (e) x 7.

A:

Q: 6. Determine the inflection points and intervals of concavity for the function y= e2*

A:

Q: 6. Suppose the company builds a box with volume 21 cubic feet, then decides to build another box…

A:

Q: x+2 for 4. Graph. f(x) ={-V4 – x² for -2 sxs2 (-x(x-3) for x 2 f(x)t

A: Consider the function  f(x)=12x+2                 for x&lt;2−4−x2            for−2≤x≤2−xx−3…

Q: 4) Sketch the graph of the derivatives f' of the given graph below on the same grid.

A: The derivative of a function at a point is the value of the slope of the tangent to the function at…