### Home > PC3 > Chapter 5 > Lesson 5.2.5 > Problem5-117

5-117.

Graph the function $f\left(x\right)=\frac{x^2+1}{x}$ and answer the following questions.

1. On what intervals is the function increasing?

If you trace the curve with your finger from left to right, where is your finger moving up?

2. Where is the function concave up?

Where does the curve look like a cup that is right-side up?

3. Where is the function concave down?

Where does the curve look like a cup that is upside down?

4. Is $f$ even, odd, or neither? Justify your answer algebraically.

It is ODD. Show that: $−f(x)=f(−x)$