Posted by **Mishaka** on Saturday, November 19, 2011 at 4:29pm.

Suppose you know that f(x) is an odd functon on the domain of all real numbers and that the function is concave up on the intervals 0 < x < 3 and 5 < x and concave down on the interval 3 < x < 5.

List ALL intervals on which the functon f(x) is concave up and ALL intervals on which the function f(x) is concave down.

- Calculus -
**Mishaka**, Saturday, November 19, 2011 at 6:25pm
Nevermind, I figured it out. Since the function is odd it must be symmetric about the origin, so:

concave up: -5 < x < -3 and 0 < x < 3 and x > 5

concave down: x < -5 and -3 < x < 0 and 3 < x < 5

- Calculus -
**Steve**, Saturday, November 19, 2011 at 6:29pm
We don't really know anything about f(x) for x>5, but let's assume it stays concave down.

Since f is odd, it is radially symmetric about the origin.

So, f is concave down on -3 < x < 0

and f is concave up on -5 < x < -3

We will assume it stays concave up for x < -5.

## Answer this Question

## Related Questions

- Calculus, check my answers, please! 3 - Did I get these practice questions right...
- Pre-Calculus - A rectangle is bounded by the x-axis and the semicircle y = &#...
- Calculus - THANK YOU TUTORS SO MUCH FOR YOUR HELP Determine the intervals on ...
- Algebra 2 - 3. Identify the vertex and the axis of symmetry of the graph of the ...
- Algebra 1-- Please, check my answers! - 1. What is ((-12x^6 + x)) / ((-4x^2))? ...
- algebra - Find the domain and range of the function. 1. f(x)= x^2-x I got: ...
- College Algebra - Here is the whole question... I have figured most of it out ...
- algebra - Find the domain and range of the relation and determine whether it is ...
- Calculus - Function f(x)= e^-x^2 a) Inflection Values b) Intervals on which f(x...
- calculus - Consider a differentiable functionf having domain all positive real ...