Use the function f(x) = 2x3 - 6x2. Clearly mark your answer for each part. Find...

Use the function f(x) = 2x3 - 6x2. Clearly mark your answer for each part.
Find the x and y intercepts. Give your answer as points.
State the intervals of increase and decrease.

State the local maximum and minimum points.

State the intervals of concave up and concave down.

State any in ection points.

Graph the function. Label any relevant points found in the above parts.

Expert Solution

please rate the answer based on your satisfaction. Thank you

milcah answered 2 years ago

Consider the function, f(x) = - x4 - 2x3 - 8x2 - 5x Use the golden...

Consider the function, f(x) = - x4 - 2x3 - 8x2 - 5x Use the golden section search (xl = -2, xu = 1, εs = 1%)

Given f(x)=2x3-7x2+9x-3, use the remainder theorem to find f(-1)

1) Find the intervals of increasing and decreasing for f(x) = 2x3 – 4x2. 2) Find...

1) Find the intervals of increasing and decreasing for f(x) = 2x3 – 4x2. 2) Find the local minimum and maximum points, if any, of f(x) = 2x3 – 15x2 + 36x – 14. 3) Find the inflection points, if any, of f(x) = 2x3 – 15x2 + 36x – 14. Give the intervals of concavity upward and downward for f(x). 4) Find the absolute maximum and minimum of f(x)= 2x3 – 15x2 + 36x – 14 on the interval...

Consider the function y = f(x) = 2x3 − 3x2 − 9x − 2. (a) [2]...

Consider the function y = f(x) = 2x3 − 3x2 − 9x − 2. (a) [2] Specify the (open) intervals on which f(x) is increasing, and the intervals on which f(x) is decreasing. (b) [2] Specify all local maxima and local minima, giving both x-coordinates and y-coordinates for them. (c) [2] Specify the intervals on which f(x) is concave up and on which f(x) is concave down. (d) [2] List the inflection point(s). (e) [2] Sketch a graph of y...

Let f(x) = 2x3 - 15x2 + 24x - 5. Find the following: a) The domain...

Let f(x) = 2x3 - 15x2 + 24x - 5. Find the following: a) The domain of f Answer can be an interval or in words b) The y-intercept Answer must be a point c) f '(x) d) The critical numbers, if any. e) The open interval(s) where the function is increasing and the open interval(s) where the function is decreasing. The answer to this question will be accepted in one of two ways: 1) Show the number line with...

Let f(x) = -2x3 - 9x2 - 12x + 3. Find the following: a) The domain...

Let f(x) = -2x3 - 9x2 - 12x + 3. Find the following: a) The domain of f Answer can be an interval or in words b) The y-intercept Answer must be a point c) f '(x) d) The critical numbers, if any. e) The open interval(s) where the function is increasing and the open interval(s) where the function is decreasing. The answer to this question will be accepted in one of two ways: 1) Show the number line with...

For the function f(x) = x(x+1) find the exact formula for f′(x). Use only the definition...

For the function f(x) = x(x+1) find the exact formula for f′(x). Use only the definition of the derivative.

Find the domain for each function please explain. f(x)=10x^2 + x f(x)= -2/x^2

Part A. If a function f has a derivative at x not. then f is continuous...

Part A. If a function f has a derivative at x not. then f is continuous at x not. (How do you get the converse?) Part B. 1) There exist an arbitrary x for all y (x+y=0). Is false but why? 2) For all x there exists a unique y (y=x^2) Is true but why? 3) For all x there exist a unique y (y^2=x) Is true but why?

For which values of x (if any) is f(x) = 2x3 + 3x2 – 12x –...

For which values of x (if any) is f(x) = 2x3 + 3x2 – 12x – 7 Increasing at an increasing rate?

Question