Absolute Value Functions - Pre-Calculus
Card 0 of 12
Evaluate: 
Evaluate:
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:

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

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

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
If
, then what is the value of
when
?
If , then what is the value of
when
?
We evaluate for 



Since the absolute value of any number represents its magnitude from
and is therefore always positive, the final answer would be 
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
Which of the following is a point on the following function?

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

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
Evaluate: 
Evaluate:
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:

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
If
, then what is the value of
when
?
If , then what is the value of
when
?
We evaluate for 



Since the absolute value of any number represents its magnitude from
and is therefore always positive, the final answer would be 
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
Which of the following is a point on the following function?

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

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
Evaluate: 
Evaluate:
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:

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
If
, then what is the value of
when
?
If , then what is the value of
when
?
We evaluate for 



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

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

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

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
If
, then what is the value of
when
?
If , then what is the value of
when
?
We evaluate for 



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