Find the difference quotient Ci f(x) = 5x²+6x 1:G f(x+h)-f(x) h much a poccible F where h#0, for the function below.

Q: 1 Let f(x)= 4x² + 2 An equation of the line L tangent to the graph of f at the point ( ,) is (fill…

A: Given: ------------------------------------------------------------------------------ To find: An…

Q: If f(x)=/2x-3. Find f" (x). Also find the domain and range of f"(x)

A: Solution:Given      f(x)=2x-35To find f-1(x) Also find the domain and range of  f-1(x)

Q: determine where the function is concave upward and where it is concave downward    g(x)= -X^2+7x+8

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Q: Solve y' = y'x.

A: solve y'=y2x3

Q: Write the function in its final position. f(x)= x³ first moved 2 units downward, then 3 units to the…

A: The objective is to write the function in its final position.

Q: can you explain for what values of x is f(x)=x3-9x2+9x concave up?

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Q: Calculate the difference quotient of the function f(x)=-4/x-2

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Q: Simplify the difference quotient f(x) = f(a) x - a for the following functions.

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Q: Consider f(x) = 3x4 −16x3 +24x2 −9. sketch the function

A: We have to sketch the given function.

Q: Let s(t) = 81 + 3t + 100 be the position, in miles, of a car driving on a straight road at time t,…

A: Given that, position= s(t)=8t2+3t+100 at time t. velocity=v(t)=16t+3 at time t. (a) Then using…

Q: Two triangles are____________ if the lengths of two corresponding sides are equal and the angles…

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Q: Is f(x) = 2x3 - 5 a one-to-one function?

A: A function f(x) is said to one one if, fx1=fx2⇒x1=x2

Q: Find the range of the function f(x) = 1/3x-5, if the domain is { -3, 0, 6}

A: f(x)=13x-5Domain is -3,0,6substitute x=-3f(-3)=13(-3)-5=1-9-5=-114

Q: Describe the translation in f(x)= 2*² +5 as it relates to the parent function f(x)=2^

A: Given,          The translation in fx=2x-2+5 as it relates to the parent function fx=2x.

Q: .) What is the range of the function y= x^2 - 6? b.) For the function g(x)= x^2 +3x - 5, what is…

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Q: Show whether the function y=x² is considered as even or odd function

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Q: If f(14)=27, find f-1(27)

A: If f(x) = y is any function and f is one-one then, => f-1(y)=x

Q: Explain what a point of inflection is and explain how you would find it/them for the following…

A: Given equation:- y=x4+6x2-11x+25 Point of inflection exist when d2ydx2=0 and concavity of function…

Q: Consider the function f(x) = x³ - 36x.

A: The objective of this question is to find the intervals on which the function f(x) = x^3 - 36x is…

Q: The inflection point of the function f(x) = x³ – 4x² + 4x + 2 is: (금, 끓) 3 7 4 ' 27 7 (금, 꽃) 4 70 3'…

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Q: (1) For the function f(x) x +1 ,evaluate and simplify the following: x² + 3 a (c) f(x² + 3) (d) fE –…

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