Sketch the graph of f(x) = -3x³-4x² + 6x-2 by following the steps in sketching the graph of a function. Find the intervals, f(x), f'(x), f'(x), and conclusion.

Q: A cat is falling from a branch. Its height t seconds after it fell is given by the function h(t) =…

A: We have given height  ht=-16t2+5 To get for what height cat was falling  Put t=0 h0=0+5 h0=5 height…

Q: Let f(x)=x^2 and g(x)=2x^2-3x+2. What is the difference of the two functions, f(x)-g(x)?

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Q: Use the functions f(x) = 2x^2+1 and g(x) = 3x+5 to evaluate the composite function. f(g(2))

A: g(x) = 3x + 5 So, g(2) = 3×2 + 5 = 11

Q: Graph of the function f(x) = x+a/ x^2 + bx +4 is shown below. What are a and b?

A: Answer

Q: The function f(x)= x^2 - 6x+4 on which interval will f(x) have a root?

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Q: If g(x)=|2-x^2|, find g(5)

A: Given,

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: Find the domain of the function. (Enter your answer using interval notation.) f(x) = x+9/x^2-1

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Q: Find domain and range f(x)=x^2-5x+6/x-2

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Q: Let f be the function given by f (x) = 8x^3-3x^2+6x+2 Part A: Find the intercepts of f (x).…

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Q: How many points of inflection does the function f(x)=x8-x2 have?

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Q: Find f”(x) for the function f(x)= -4x^2-4x-9

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