If f(x) = (x+1)^3(2x-1)^2(x+2) a. Identify the degree, the leading term, the constant, and the actual...

If f(x) = (x+1)^3(2x-1)^2(x+2)

a. Identify the degree, the leading term, the constant, and the actual zeros with their multiplicities

b. Graph without using value table

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milcah answered 2 years ago

f(x) = (2x − 3)(x 2 − 6) (a) Write formulas for f '(x) and f...

f(x) = (2x − 3)(x 2 − 6) (a) Write formulas for f '(x) and f ''(x). (b) Find all x-intercepts of f(x). (Exact answers, no decimals.) (c) Find all critical points of f(x). (x-values only; y-values not needed.) Classify them using the 1st or 2nd derivative test. (d) Find all inflection points of f(x). (x-values only; y-values not needed.)

1. f(x) = 1/2x-3 or y = 1/2x -3 The input is x and the output...

1. f(x) = 1/2x-3 or y = 1/2x -3 The input is x and the output is f(x) or y. What is the slope of the function? What is the y-intercept of the function? What is the x-intercept of the function? Graph the function. What is the slope of a horizontal line? Determine whether each function is increasing or decreasing? f(x) = 4x + 3 a(x) = 5 -2x k(x) = -4x +1 p(x) = 1/4x-3 q(x) = 4 4....

Find all functions f(x) with f′′(x) = 3x^3 − 2x^2 + x, f(0) = 1, and...

Find all functions f(x) with f′′(x) = 3x^3 − 2x^2 + x, f(0) = 1, and f(1) = 1.

Given f(x) = 1 x 2 − 1 , f 0 (x) = −2x (x 2...

Given f(x) = 1 x 2 − 1 , f 0 (x) = −2x (x 2 − 1)2 and f 00(x) = 2(3x 2 + 1) (x 2 − 1)3 . (a) [2 marks] Find the x-intercept and the y-intercept of f, if any. (b) [3 marks] Find the horizontal and vertical asymptotes for the graph of y = f(x). (c) [4 marks] Determine the intervals where f is increasing, decreasing, and find the point(s) of relative extrema, if any....

F(x) = 0 + 2x + (4* x^2)/2! + (3*x^3)/3! + ..... This is a taylors...

F(x) = 0 + 2x + (4* x^2)/2! + (3*x^3)/3! + ..... This is a taylors series for a function and I'm assuming there is an inverse function with an inverse taylors series, I am trying to find as much of the taylors series of the inverse function (f^-1) as I can

Let f(x)=(x^2+1)*(2x-3) Find the equation of the line tangent to the graph of f(x) at x=3....

Let f(x)=(x^2+1)*(2x-3) Find the equation of the line tangent to the graph of f(x) at x=3. Find the value(s) of x where the tangent line is horizontal.

6) Given: (a) f (x) = (2x^2)/(x^2 −1) - Calculate f ′(x) and f ″(x) -...

6) Given: (a) f (x) = (2x^2)/(x^2 −1) - Calculate f ′(x) and f ″(x) - Determine any symmetry - Find the x- and y-intercepts - Use lim f (x) x→−∞ and lim f (x) x→+∞ to determine the end behavior - Locate any vertical asymptotes - Locate any horizontal asymptotes - Find all intervals where f (x) is increasing and decreasing - Find the open intervals where f (x) is concave up or concave down

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If f(x) = (x+1)^3(2x-1)^2(x+2) a. Identify the degree, the leading term, the constant, and the actual...

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