GRE Subject Test: Math : Classifying Functions

Study concepts, example questions & explanations for GRE Subject Test: Math

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Example Questions

Example Question #11 : Calculus

What kind of function is this: ?

Possible Answers:

Cube-Root Function

Rational Function

Square Function

Cube Function

Correct answer:

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 #12 : Calculus

What kind of function is 

Possible Answers:

Cubic

Hyperbola

Parabola

Line

Correct answer:

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 #13 : Calculus

What kind of function is 

Possible Answers:

Cubic

Parabola

Circle

Line

Correct answer:

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 #14 : Calculus

What kind of function is ?

Possible Answers:

Cube-Root Function

Absolute Value

Cubic Function

Quadratic Function

Reciprocal Function

Correct answer:

Cube-Root Function

Explanation:

Quadratic functions have at least an  term.
Absolute Functions have .

Cube-Root functions have 

The function  is a cube-root function because it shares 

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