Suppose that the functions g and fare defined as follows. 8 (x) = (-5 +x)(-5+x) f (x) = -6-8x (f)

Q: x – 5, for x 3.

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Q: How might you restrict the domain of f(x) = x2, graphed in Figure 1.71, so that the remaining…

A: Given that, f(x)=x2 We have to Find How to restrict the domain of f(x)=x2  So that the remaining…

Q: 8. Determine algebraically if the function is even, odd or neither. y = -2' - |-2°|

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Q: Find the open intervals on which the function is increasing or decreasing.        y = x + 9/x

A: To find the critical points we solve dy/dx=0

Q: (b) Determine the discontinuities of the following functions and state why the function fails to be…

A: Given function is not defined at x=0

Q: 3x2-5x-y=-2y Step 3 of 3 : Determine the implied domain of the function found in the first step.…

A:

Q: Find the open intervals on which the function is increasing or decreasing.

A: A function f(x) is increasing if for each x1<x2 we have fx1<fx2. Similarly a function f(x) is…

Q: Graph f(x) = 1/2|x + 4 | – 5 and create a table of values f(x) = 1/2|x+4|-5 f(x) 3 2- -6 -5 -4 -3 -2…

A: Given that,f(x)=12x+4-5 x f(x) Points=(x,f(x)) -4 -0.2 A=(-4,-0.2) -1 1 B=(-1,1) 0 0.3333…

Q: An open box is to be made from a square piece of cardboard of side 12 inches by cutting out squares…

A: To find the size of squares cut out of the box for maximum volume.

Q: A company operates a fleet of delivery trucks. Study shows that gallons of fuel consumed per mile of…

A:

Q: A company expects that the number N(x) of a product sold during a week is related to the amount…

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Q: Find the maximum of f(x) = -x4 - 2*x3 - 8*x2 -5*x in the range of [-2, 1]

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Q: Determine and graph the domain of the function: f(x,y) = ev- + In(5x² + 7vZy² – v2) |

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Q: -pose f(x) = (x² – 9)2/3. Find the intervals rvals on which it is decreasing.

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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: Given the function f(x) = 4x^3 + 2x^2 -3x defined on the interval [-4,2] a) Identify any points of…

A:

Q: 5- For the function f(x)=x³/3(x²-3) – 3/2, determine: a- The domain. b- The x and y intercepts. c-…

A: Given problem:-

Q: Consider the following relation. V1 - x– 4y = - 5 Step 3 of 3: Determine the implied domain of the…

A:

Q: The function f (x) = 2x² + 6x – 12 has a domain of all the whole numbers in which -2 sxs 1. List the…

A: Given,          The function fx=2x2+6x-12 has a domain of all whole numbers in which -2≤x≤1.

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list.) f(x) : =…

A: We first find f'(x). f(x)=7x2-8xf'(x)=14x-8

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: Sketch the graph of the function. 4+x if x < -2 f(x) = {x2 %3D if -2 sx < 2 6- x if x 2 2

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Q: How would you limit the domain to make this function one to one? f(x) = 3 – x2 Your answer will be…

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Q: The graph of f (x)3-x²-5x+6 has the point (2, -6) on it. O True O False

A: Given statement  The graph of f(x)=-x^2-5x+6 has the point (2,-6) on it

Q: on a piece of paper graph f(x) 2x if x <3…

A: Y = 2X      IF X&lt;3 Y = 4        IF X&gt;3 PLOT THE GRAPH,

Q: Suppose the function f has a domain set of all real numbers. Given below is the graph of f(x). f'(x)…

A:

Q: Find the intervals on which ƒ is increasing and the interval on which it is decreasing. ƒ(x) =…

A: we have to find the intervals on which f(x) is increasing and the intervals on which f(x) is…

Q: Determine the intervals of concavity for the function 9(x) = xª – x³ - x³ – x² + 8x – 5. Note: If…

A: Concavity.

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list.) f(x) =…

A: Critical point X= 3/5

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

A:

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list.) f(x) =…

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Q: If f(x)<0 for all real numbers x, then f is decreasing on(-♾,♾) True or false

A:

Q: Find and label as minimum or maximum the stationary points for: f(x)-x -20х+105

A: We will solve the problem

Q: f(x) = 11- 18z2 -5z5- 12x - 2x f (x) } and f(x)6 : + -00 as x → : + -00 as z → o0 : - 00 asT -00 : +…

A: topic - polynomials

Q: Use the function and graph to answer the questions about existence, limits, and continuity. -x-3, -…

A: topic - limits and continuity

Q: . Find the length of the graph of the function f (x) =x* + x2 -<x < 3. on the ir

A: The length of the graph of y=f(x) from x=a to x=b is given by:∫ab1+f'(x)2dx f'(x):…

Q: у 3 2 1 -1- -2 -3 1 2 3 4 5 6 X

A: Here is the solution:

Q: The graph of f(x) = x² is transformed to create the graph of h(x) = 2f(x). Which graph best…

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Q: Find the domain and range of the function: 1 1- V5 - x

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Q: Suppose that the function/is defined, for all real numbers, as follows. 5x-4 if xS1 -r+4 if x>1…

A:

Q: Given the function f (x) = 10 + 5x³ – 3x³, identify the interval(s) where the function is concave…

A: Given:      f(x) = 10 + 5x3 - 3x5

Q: Find absolute extrmum(if any) f(x)=x2-4x+5 on [-2,3]

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Q: Graph the piecewise function f(x) = 4, for x ≤ -2 x+1, for -2<x<3, -x, for x ≥ 3

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Q: For the function f(x) = x2 /3 minus x2 - 24x + 19 (a) determine the turning points of the values of…

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Q: A manufacturer finds that the profit obtained by selling x units of a certain product is given by…

A: Given that the profit function of selling x units of a product is given by Px=-0.2x2+400x-2500. It…

Q: Use the graph to determine : a. intervals on which the function is increasing, if any. b. intervals…

A:

Q: Find the function P(x) of a company selling x items is given by P(x)=x3+9x2-15x-13 where x…

A: Given problem is : Find the function P(x) of a company selling x items is given by…

Q: (c) For what values of a and b does the function (ах- 3, x< 4 f(x) = -x² + 10x - b, x2 4 satisfies…

A: