# GRE Subject Test: Math : Classifying Functions

## Example Questions

### Example Question #1 : Classifying Functions

What kind of function is this: ?

Cube-Root Function

Square Function

Cube Function

Rational Function

Cube-Root Function

Explanation:

Step 1: Look at the equation.. . The cube-root outside of the function determines what the answer is..

The function is a cube-root function.

Note:

Square function,
Cube function,
Rational function,  (if )

### Example Question #11 : Calculus

What kind of function is

Hyperbola

Line

Cubic

Parabola

Cubic

Explanation:

Step 1: To classify any function, find the degree of that function. The degree of a function is the highest exponent.

Step 2: Find degree of .

The degree is 3..

Step 3: Find what kind of function has degree of 3:

A cubic function has a degree of 3...

A square function has a degree of 2
A line has a degree of 1

### Example Question #2 : Classifying Functions

What kind of function is

Circle

Line

Parabola

Cubic

Parabola

Explanation:

Step 1: Define some basic graphs and their functions...

Line functions have an equation , where
Parabola (Quadratic functions) have an equation  or  or , where

Cubic functions have an equation , where

Step 2: Determine what type of function is given...

The equation given is a parabola...

### Example Question #2 : Classifying Functions

What kind of function is ?

Reciprocal Function

Absolute Value

Cubic Function

Cube-Root Function