Algebra II : Domain and Range

Study concepts, example questions & explanations for Algebra II

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Example Questions

Example Question #42 : Introduction To Functions

Absolutevalue

Possible Answers:

Correct answer:

Explanation:

All inputs are valid. There is nothing you can put in for x that won't work. 

Example Question #43 : Introduction To Functions

Exponential

Possible Answers:

Correct answer:

Explanation:

All inputs are valid. There is nothing you can put in for x that won't work. 

Example Question #51 : Introduction To Functions

Squareroot

Possible Answers:

Correct answer:

Explanation:

You cannot take the square root of a negative number.

Example Question #52 : Introduction To Functions

Identity

Possible Answers:

Correct answer:

Explanation:

The function includes all possible y-values (outputs). There is nothing you can put in for y that won't work.  

Example Question #53 : Introduction To Functions

Parabola

Possible Answers:

Correct answer:

Explanation:

Squaring an input cannot produce a negative output.

Example Question #54 : Introduction To Functions

Cubing

Possible Answers:

Correct answer:

Explanation:

The function includes all possible y-values (outputs). There is nothing you can put in for y that won't work.  

Example Question #55 : Introduction To Functions

Exponential

Possible Answers:

Correct answer:

Explanation:

A number taken to a power must be positive. 

Example Question #56 : Introduction To Functions

Squareroot

Possible Answers:

Correct answer:

Explanation:

The square root of any number cannot be negative. 

Example Question #57 : Introduction To Functions

Absolutevalue

Possible Answers:

Correct answer:

Explanation:

The absolute value of a number cannot be negative. 

Example Question #51 : Functions And Graphs

Determine the domain of the following function:

Possible Answers:

 and 

 and 

 and 

Correct answer:

 and 

Explanation:

The domain is all the possible values of . To determine the domain, we need to determine what values don't work for this equation. The only value that is not allowed for this equation is 5, since that would make the denominator have a value of , and you can not divide by . Therefore, the domain of this equation is:

 and 

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