For the function f(x) = x^2 +3x / 2x^2 + 6x +3 find the following, and...

For the function f(x) = x^2 +3x / 2x^2 + 6x +3 find the following, and use it to graph the function.

Find: a)(2pts) Domain

b)(2pts) Intercepts

c)(2pts) Symmetry

d) (2pts) Asymptotes

e)(4pts) Intervals of Increase or decrease

f) (2pts) Local maximum and local minimum values

g)(4pts) Concavity and Points of inflection and

h)(2pts) Sketch the curve

Expert Solution

milcah answered 2 years ago

For the function f(x) = x^2 +3x / 2x^2 + 7x +3 find the following, and...

For the function f(x) = x^2 +3x / 2x^2 + 7x +3 find the following, and use it to graph the function. Find: a)(2pts) Domain b)(2pts) Intercepts c)(2pts) Symmetry d) (2pts) Asymptotes e)(4pts) Intervals of Increase or decrease f) (2pts) Local maximum and local minimum values g)(4pts) Concavity and Points of inflection and h)(2pts) Sketch the curve

Find all x values for which the function y = x^3 + 6x^2 + 3x +...

Find all x values for which the function y = x^3 + 6x^2 + 3x + 7 has a horizontal tangent line. Find the derivative of f(x) using the definition for a limit.

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.

f(x)= 1/3x^3 + 5/2x^2 - 6x + 4; [-9,3] The absolute maximum value is ____ at...

f(x)= 1/3x^3 + 5/2x^2 - 6x + 4; [-9,3] The absolute maximum value is ____ at x = ___ (Use comma to separate answers as needed. Round to two decimal places as needed) The absolute minimum value is ____ at x = ___ (Use comma to separate answers as needed. Round to two decimal places as needed)

A. In the following parts, consider the function f(x) =1/3x^3+3/2x^2−4x+ 7 (a)Find the intervals on which...

A. In the following parts, consider the function f(x) =1/3x^3+3/2x^2−4x+ 7 (a)Find the intervals on which f is increasing/decreasing and identify any local extrema. (b) Find the intervals on which f is concave up/down and find any inflection points. B. Consider the function f(x) = sin(x) + cos(x). Find the absolute minimum and absolute maximum on the interval [−π,π].

1. Find the critical numbers for the following functions (a) f(x) = 2x 3 − 6x...

1. Find the critical numbers for the following functions (a) f(x) = 2x 3 − 6x (b) f(x) = − cos(x) − 1 2 x, [0, 2π] 2. Use the first derivative test to determine any relative extrema for the given function f(x) = 2x 3 − 24x + 7

Find the derivatives of each of the following functions: 1. f(x) = (3x^2 + 2x −...

Find the derivatives of each of the following functions: 1. f(x) = (3x^2 + 2x − 7)^5 (2x + 1)^8 2. g(t) = cos(e^2x2+8x−3) 3. h(x) = e^x2/tan(2x−3) 4. Find dy/dx if cos(xy) = x^2y^5

5. Consider the function f(x) = -x^3 + 2x^2 + 2. (a) Find the domain of...

5. Consider the function f(x) = -x^3 + 2x^2 + 2. (a) Find the domain of the function and all its x and y intercepts. (b) Is the function even or odd or neither? (c) Find the critical points, all local extreme values of f, and the intervals on which f is increasing or decreasing. (d) Find the intervals where f is concave up or concave down and all inflection points. (e) Use the information you have found to sketch...

Use the secant Method to find a root for the function: f(x) = x^3 + 2x^2...

Use the secant Method to find a root for the function: f(x) = x^3 + 2x^2 + 10x -20, with x_0 = 2, and x_1 = 1.

Suppose f(x)= 2x^3- 6x^2 + 1 For what x is f(x) increasing? decreasing? What are the...

Suppose f(x)= 2x^3- 6x^2 + 1 For what x is f(x) increasing? decreasing? What are the local minimum and maximum values of the function f (if any)?

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