Library of functions solve  If f(x)= {2x-4.   If -1 less than equal to x less than equal to 2 If f(x)={x3-2  If 2 less than x less than equal to 3 Find A f(0)  B f(1)  C  (f)2  D f(3)

Q: F(-2+ h) – F(-2) If F(x) = 5x + 2 then find h F(-2) = F(-2+h) = h+ F(-2+h) – F(–2) h

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Q: 2. (Non-Calc) A rancher wants to construct two identical rectangular corrals using 100 ft of…

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Q: Find the absolute extrema of the function given the interval: f(x) = (x+1)^2/3 ; [-2,1]

A: To find: The absolute extrema of the function in the interval . Formula used: Power rule of…

Q: f(x) -4 4 -2

A: Topic = Coordinate geometry

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Q: 5 - x 4 – x2 Determine where f (x) = is continuou - O (-0, -2) U (-2, 2) U (2, 5] O (-00, 5] O (-00,…

A: Given function is, f(x)=5-x34-x2

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A: Given: Axis interception points of 2x3-45x2+300x+6:  X Intercepts: -0.01994…, 0, Y Intercepts: 0,…

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Q: Find the absolute extrema of the function given the interval. g(x) = sqrt(4-x^2) ; (-2,2)

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Q: f′(x) = (x2 − 3x)(4x + 2). (a) Find by hand all solutions to the inequality f′(x) < 0. Express your…

A: Zeros of the f'(x) are x=0, x=3 , x=-1/2  Then we make a number line and pick a test point from each…

Q: {CLO-3} Find the absolute minimum value of the function f(x)=x²-3x²-24x +5 on the closed interval […

A: This question can be solved using the concept of absolute maximum and minimum.

Q: x -4 ifx<2 Determine f(2) if f(x)= {2-x if 2 <x<4. x-2 if 4 <x

A: Given,           fx=x2-4if x≤22-xif 2&lt;x≤4x-2if 4&lt;xTo find : Determine f'+2.

Q: F(x)=-x^2 Solve: F(x)-f(a)/x-a

A: The solution of the problem is given in the next step.

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Q: The derivative of a constant is

A: Note: Since you have posted multiple questions. We are solving the first question for you. Please…

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Q: Composite Functions: What does (f*g^(-1))(x) and (g^(-1)*f)(x) stand mean, how do you solve them?

A: our objective is to find the composition

Q: Find the maximum or minimum value of the function.   f(x) = 2x2 + x − 1

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A: Given the function is fx,y=x3-12x+12y2-3xy+30. Find the critical points of f and identify them.

Q: #8 Solve F(x) for the given domain. Include all of your work in your final answer. Submit your…

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Q: Find the exact location of all the relative and absolute extrema of the function. (Order your…

A: Take the derivative of f(x) and equate to zero and solve for x.

Q: 2 4х —3 x+4

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Q: f(x) 4 -2 2 2.

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Q: Library of functions solve If f(x)= x2 if x&lt;o               2    if x=o             2x+1 if…

A: To determine the value of f(-2) and solution of the equation f(x) = 0 for the function given below:

Q: Find the maximum OR minimum value of the function. f(x) = 2x2 + x − 1

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Q: naximum value of f(x)

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A: Given function is gx=x2-42                       (i) To find the value of x or which gx attains the…

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Q: Electric Current. Suppose you have two electronic devices that have different currents when x = 2…

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Q: 1. solve inequiality 20-3x&gt;14. Graph the solution set.2. The graph of a function y=f(x) always…

A: 1.objective is to solve the inequality 20 -3x&gt;14 and to graph the solution set.

Q: Average rate of change of a function F( X) =X² between X=4 and X= 9

A: The solution is given as

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Q: Extreme values Find the local extrema of the function g (x) = x2/3(2 - x).

A: Given g (x) = x2/3(2 - x). We need to find the local extrema.

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Q: Functions: F(x)=3x-2. g(x)=2x+3. h(x)=x^2+1. k(x)=√x-5

A: As per our guidelines we are suppose to solve only first question. Kindly repost the other question…

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Q: –2-x+ X<2

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A: Given piece wise function: fx=x2+4x+5;x&lt;12x; -1≤x≤2-12x+4;x&gt;2 To find the following values:…

Q: f(x)=x2+2x-24 solve the following  f(x)>0 f(x) is greater than equal to 0

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: