Precalculus : Absolute Value Functions

Study concepts, example questions & explanations for Precalculus

varsity tutors app store varsity tutors android store

Example Questions

Example Question #2 : Special Functions

Which of the following is a point on the following function?


Possible Answers:

Correct answer:


One way to approach this problem would be to plug in each answer and see what works. However, I would be a little more strategic and eliminate any options that don't make sense.

Our y value will never be negative, so eliminate any options with a negative y-value.

Try (0,0) really quick, since it's really easy

The only point that makes sense is (5,83), therefore it is the correct answer

Example Question #1 : Absolute Value Functions


Possible Answers:

Correct answer:


Cancel the absolute value sign by separating the function  into its positive and negative counterparts.

Evaluate the first scenario.

Evaluate the second scenario.

The correct answer is:

Example Question #4 : Special Functions

If   , then what is the value of  when  ?

Possible Answers:






Correct answer:



We evaluate for 

Since the absolute value of any number represents its magnitude from  and is therefore always positive, the final answer would be 

Learning Tools by Varsity Tutors

Incompatible Browser

Please upgrade or download one of the following browsers to use Instant Tutoring: