Tuesday

July 22, 2014

July 22, 2014

Posted by **Navroz** on Sunday, November 11, 2012 at 4:41pm.

***the only given info is the max and min points

- calculus -
**Jennifer**, Sunday, November 11, 2012 at 7:27pmImagine what is happening from (-infinity < x < infinity)

1). from -infinity to x = -2, the graph is going up, then reaches a maximum at x = -2

2). From x = -2 to x = 1, the graph is going down to the minimum at x = 1

3). From x = 1 to x = 6, the graph goes up again to its maximum at x = 6

4). From x = 6 to +infinity, the graph must go down again.

So the graph will kind of look like two hills with one inflection point between x = -2 and x = 1, and another between x = 1 and x = 6

The function is concave down from - infinity to inflection point 1; concave up from inflection point1 to inflection point 2, and concave down from inflection point 2 to infinity.

The inflection points are found by solving the equation f''(x) = 0

**Related Questions**

calculus - a function has a local maximum at x=-2 and x=6 and a local minimum at...

12th Calculus - use the derivative of the function y=f(x)to find the points at ...

Math - When you're finding the sign of f' and f'' to find a local maximum/...

PLEASE HELP!! DESPERATE!!! (MATH) - The derivative of a function is f'(x)=x(x+2...

Math - The derivative of a function is f'(x)=x(x+2)(x-5). Find the value of x at...

Calculus - Functions? - #1. A cubic polynomial function f is defined by f(x) = ...

how to sketch a graph of.. - Local minimum and local maximum imply that the ...

Calculus - Consider the function f(x)=xlnx. For the following questions, write ...

Business Calculus - The function f(x)=4x+9x^-1 has one local minimum and one ...

Calculus - The function f(x)=-2x^3+30x^2-96x+8 has one local minimum & one local...