Absolute Value Functions - Pre-Calculus

Card 0 of 3

Question

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

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

Compare your answer with the correct one above

Question

Evaluate:

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:

Compare your answer with the correct one above

Question

If , then what is the value of when ?

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

Compare your answer with the correct one above

Tap the card to reveal the answer