### All GRE Subject Test: Math Resources

## Example Questions

### Example Question #1 : Classifying Functions

What kind of function is this: ?

**Possible Answers:**

Cube-Root Function

Square Function

Cube Function

Rational Function

**Correct answer:**

Cube-Root Function

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

**Possible Answers:**

Hyperbola

Line

Cubic

Parabola

**Correct answer:**

Cubic

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

**Possible Answers:**

Circle

Line

Parabola

Cubic

**Correct answer:**

Parabola

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 ?

**Possible Answers:**

Quadratic Function

Reciprocal Function

Absolute Value

Cubic Function

Cube-Root Function

**Correct answer:**

Cube-Root Function

Quadratic functions have at least an term.

Absolute Functions have .

Cube-Root functions have

The function is a cube-root function because it shares