Function Tables Absolute Value

Functions:

Absolute Values​

By Mr. Rodriguez

Absolute Value

• The magnitude of a real number without regard to its sign.

• y=|x|​

Multiple Select

The absolute value of a negative number is a positive number?

• True

• False

Multiple Select

The absolute value of a positive number is a positive number?

• True

• False

Multiple Choice

What is the opposite of -9? 

• 9
• 1/9
• 0
• -9

Multiple Choice

-3 and 3 are opposites .
True or False?

• True 
• False

Multiple Choice

I 5 I

• 5
• -5

Multiple Choice

The absolute value of |3| is -3.

• True
• False

Multiple Choice

Evaluate the expression.
|-2| + |-5|

• 7
• -7
• 3
• -3

Graphing: Absolute Value

• ​Absolute value graphs are not linear.

  ​

• Absolute value graphs looks like a V.

  ​

• Absolute value graphs outputs are all either positive or negative unless the absolute value graph was shifted on the y-axis

Graphing: Absolute Value

​Absolute value graph shift along the x-axis and y-axis.

​

Example: ​y=|x|+2 The number on the outside of the absolute value shifts the graph up ordown on the y-axis.

​

Example: ​y=|x-4| The number on the outside of the absolute value shifts the graph left or right on the y-axis. ​

​

Multiple Choice

What is the equation of the absolute value function?

• f(x)= |x+4|
• f(x)= |x-4|
• f(x)= |x| + 4
• f(x)= |x| - 4

Multiple Choice

  . 
The blue graphs is the parent function f(x)=|x|, the red must be

• g(x)=|x+2|
• g(x)=|x|+2
• g(x)=|x-2|
• g(x)=|x|-2

Multiple Choice

y = |x| - 7 makes the graph slide . . .

• left 7
• right 7
• up 7
• down 7

Table: Absolute Value

• ​Absolute value tables are not linear.

  ​

• Absolute value graphs outputs are all either positive or negative. ​

Subject | Subject

Some text here about the topic of discussion

• Substitute the ​letter inside of the absolute value with the number find the absolute value

• Follow the order of operations

  ( subtract 6 in the example​

Solving Tabes

Table: Absolute Value

Some text here about the topic of discussion

f(n)=|n|-6

​n	f(n)​
-5	​
0	​
​5	​
​10	​

Multiple Choice

What is the f(n) for -5?

• -1

• -6

• 1

• 4

Multiple Choice

What is the f(n) for 0?

• -1

• 0

• -6

• 4

• Substitute the letter with the number

• Do the mathematical operation

• Find the absolute value

Solving Tabes

Table: Absolute Value

Some text here about the topic of discussion

f(h)=|h+4|

​h	f(h)​
-10	​
-5	​
​0	​
​5	​

Multiple Choice

What is the f(h) for -10?

• 4

• -4

• 6

• -6

Multiple Choice

What is the f(h) for 5?

• 5

• 9

• 1

• 3