f(x)= -x^3-5x^2-8x+48 find the intercepts for f(x), determine the end behavior for f(x), find the relative...

f(x)= -x^3-5x^2-8x+48

find the intercepts for f(x), determine the end behavior for f(x), find the relative extrema using the first test must show the sign chart for f(x), find the points of inflection for f(x), sketch the graph of f(x) and include all of those above

Expert Solution

milcah answered 2 years ago

The y-intercept is (0, 0). The x-intercepts are (0, 0), (2, 0). Degree is 3. End behavior: as x → −∞, f(x) → −∞, as x → ∞, f(x) → ∞.

Find the relative maximum and minimum values. f(x,y)= x^2 + y^2 + 8x - 10y

if f(x)=5x(x+4)^3 , find f'(x) and f"(x)

Factor the following: a) f(x)=x^5+5x^4-21x^3-137x^2-88x+240, knowing that f(5)=0 and f(-3)=0. b) f(x)=x^3+8x^2+5x-50 c)f(x)=-x^4-4x^3+19x^2+46x-120, knowing that (x+5)...

Factor the following: a) f(x)=x^5+5x^4-21x^3-137x^2-88x+240, knowing that f(5)=0 and f(-3)=0. b) f(x)=x^3+8x^2+5x-50 c)f(x)=-x^4-4x^3+19x^2+46x-120, knowing that (x+5) and (x-2) are factors.

For the following exercises, use the information about the graph of a polynomial .. The y-intercept is (0, 9). The x-intercepts are (−3, 0), (3, 0). Degree is 2. End behavior: as x → −∞, f(x) → −∞, as x → ∞, f(x) → −∞.

For the following exercises, use the information about the graph of a polynomial function to determine the function. Assume the leading coefficient is 1 or −1. There may be more than one correct answer.The y-intercept is (0, 9). The x-intercepts are (−3, 0), (3, 0). Degree is 2. End behavior: as x → −∞, f(x) → −∞, as x → ∞, f(x) → −∞.

Let f(x) = x / (4−x^2) . (a) Find the domain and intercepts of f(x). (b)...

Let f(x) = x / (4−x^2) . (a) Find the domain and intercepts of f(x). (b) Find all asymptotes and limits describing the end behavior of f(x). (c) Find all local extrema and the intervals on which f(x) is increasing or decreasing. (d) Find the inflection points and the concavity of f(x). (e) Use this information to sketch the graph of f(x)

If f(x)=2x^2−5x+3, find f'(−4). Use this to find the equation of the tangent line to the...

If f(x)=2x^2−5x+3, find f'(−4). Use this to find the equation of the tangent line to the parabola y=2x^2−5x+3 at the point (−4,55). The equation of this tangent line can be written in the form y=mx+b where m is: ???? and where b is: ????

2. Let f(x)=2x^2−4x+7/5x^2+5x−9, evaluate f '(x) at x=3 rounded to 2 decimal places. f '(3)= 3....

2. Let f(x)=2x^2−4x+7/5x^2+5x−9, evaluate f '(x) at x=3 rounded to 2 decimal places. f '(3)= 3. Let f(x)=(x^3+4x+2)(160−5x) find f ′(x). f '(x)= 4. Find the derivative of the function f(x)=√x−5/x^4 f '(x)= 5. Find the derivative of the function f(x)=2x−5/3x−3 f '(x)= 6. Find the derivative of the function g(x)=(x^4−5x^2+5x+4)(x^3−4x^2−1). You do not have to simplify your answer. g '(x)= 7. Let f(x)=(−x^2+x+3)^5 a. Find the derivative. f '(x)= b. Find f '(3)= 8. Let f(x)=(x^2−x+4)^3 a. Find the...

(b) Find the equation of the tangent line to the curve 8x^2y^3-5x^2+7y^3=10(x-3y) , at...

(b) Find the equation of the tangent line to the curve 8x^2y^3-5x^2+7y^3=10(x-3y) , at the point (2,-2). (c) Given T''=6x^2y^3-cosx+5y^2-siny+10x^2-e^-3x ; determine: T'=∫(T'')∂x T'=∫(T'')∂y (d) Solve the equation cosecxcosydy-10xdx=0 , separably.

let f(x)=(x^2 + 2x) / (x - 1)^2 a) Find the domain and if any intercepts...

let f(x)=(x^2 + 2x) / (x - 1)^2 a) Find the domain and if any intercepts b)find the horizontal asymptotes c) find the vertical asymptotes d)find the intervals on which the function is increasing and decreasing and identify the function's local extreme values, critical values e)identify the concavity and if any the point of inflection f) graph the function

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