Orig Question: g(x) = 2x²-3x on the interval E1₁-1th]

Q: Explain how the first derivative of a function determines where the function is increasing and…

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Q: Graph 2x+ 3 ifx <-1 f(x)=- 3- x if x 2-1

A: given f(x) =2x+3   if  x&lt;-13-x    if   x≥-1

Q: f(x)= (2x - 4)/(x+3) Use interval notation to indicate where f(x) is decreasing.

A: Given that f(x) = 2x-4x+3 we have to find the interval where f(x) is decreasing

Q: Explain how the real-world meaning of a derivative is related to the independent (input) and…

A: An independent variable a variable that stands alone and it doesn't change by the other variables we…

Q: II+x8¬¿X₺++*L— 5*7 = (x)ƒ

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Q: Find where the function f(x) = 3x4 − 4x3 − 12x2 + 5 is increasing and where it is decreasing.…

A: increasing and decreasing intervals of fucntion  fx=3x4 − 4x3 − 12x2 + 5

Q: How to find f-1(x) of f(x)=x2-18x. Can you please give steps as well.

A: The given function is f(x) = x2–18x.Replace f(x) by y as y = x2–18x.Interchange the variables and…

Q: What is the average rate of change of -2x2 on the interval [-2, 1]? O 2 10 O -2

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Q: The first derivative of f(x) = 10x³-3 √(5x4-6x)3 A. C. (3-10x³)√(5x4-6x)³ 1 √5x*- 6x will be B.…

A: The given function fx=15x4-6x. We have to find the first derivative of the function.

Q: Q11 Find the derivative of ƒ(x) = (x² + 5)(3x − 1) (a) By simplifying and then differentiating (b)…

A: Let two functions u and v then ddx( u,v ) = udvdx + vdudxGiven function f( x ) = ( x2 + 5 )( 3x - 1…

Q: Given the function f(x)=x^2 what is a modified function that opens down with a vertical shift of 4…

A: using rule for shifting of curve

Q: Which transformation is used to obtain the graph of f(x)= -2X from grape of f(x) = 22?

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Q: y=-0.2(x-5) - 6

A: Given: y=-0.2x-5-6 To list: Parent function and 4 transformations used.

Q: Find the following for the function​ f(x) = x/x^2 +1  (h) f(x+h) please help me with this question

A: In this question, we will find f(x+h).

Q: X-3 (c) f (x) = 2x+1

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Q: If g(x) is the graph of f(x), x^3, shifted right 2 units, write the formula of g(x)

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Q: aph the function. r(x)={(-x^(2)+1 for x1):}

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Q: use the letters in the equation f(x)=(x-a)^2+b, to describe how the graph is shift from the graph of…

A: The graph of fx=x-a2+b can be obtained from the graph of fx=x2  as follows: First shift  fx=x2…

Q: Two functions are said to have the same end behavior if their ratio approaches 1 as x -> + infinity…

A: Given two function 3x5-5x3+2x and 3x5.  Let f(x)=3x5-5x3+2x and g(x)=3x5Then f(x)g(x)=3x5-5x3+2x3x5…

Q: Use the plot command to plot the function f(x) = (0.5x* + 1.1x – 0.9x²)e-0.7* for -3<x<10.

A: For a function, y=f(x), the dependent variable is y and the independent variable is x. The value of…

Q: f(x+0.0001)-f(x) Use 0.0001 f(x) = -3x² 6x at x = -5.9 6.1 -6 6 4 to determine the instantaneous…

A: Sol:- To find Instantaneous rate of change of  f(x)= -3x2-6x  at x =-2 We have to use the following…

Q: How are derivatives and second derivatives used to solve an optimization problem?

A: We need to figure out that how derivatives and second derivatives used to solve an optimization…

Q: When doing composite functions, if I have a problem that says f(x)=x/x-5 and g(x)=-3/x/ How do I…

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Q: compute the derivative of the below graph 6. 4- -3 1 0 -2 -4 -6 w. 2.

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Q: f^-1(x) for f(x)=5+12(x)

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Q: 3. 2.

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Q: Prove that 8x3 - 6x - 1 is irreducible over Q.

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