Consider the equation below. f(x) = 4x³ + 9x² - 54x + 1 (a) Find the intervals on which f is increasing. (Enter your answer using interval notation.) ∞, -3) X Find the interval on which f is decreasing. (Enter your answer using interval notation.) (-3,1.5) (b) Find the local minimum and maximum values of f. local minimum value -64 local maximum value 7.375 (c) Find the inflection point. (x, y) = (-0.75, -6.375 X X Find the interval on which fis concave up. (Enter your answer using interval notation.) (-∞,-0.75) U(-0.75,00) X Find the interval on which f is concave down. (Enter your answer using interval notation.) (-∞, -0.75)

Q: 2ェ +5 Rewrite f (x) = In the form f (x) x +3 a-h f (1) =

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A: Let the two functions be as follows:The above function combine to form the new function that is To…

Q: Use the tables of values for y = f(x) to complete a table for y = f(x). -3 -2 10 Ax) -2

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Q: Please show step-by-step solution.

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Q: 4=3x メ-。 b. This equation contains the point (2,y). State the 201 value of y.

A: We can find the value of y as below.

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A: to evaluate the function just replace the  variable X with -2

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Q: 3. If f(x) = 83 and g(x) = 4x², find f(f(1)), f(g(-2)), g(f(-3)), and g(g(2)). x

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