Relations and Functions

A relation pairs each input with exactly one output is a

• congruence

• similarity

• function

• mathematical equation

Is this a function?

• Function
• Not a Function

Is this mapping a function or not a function? 

• Function
• Not a Function 

What is the definition of function?

• Has inputs and outputs
• Every input has only ONE output
• Inputs have different outputs every time
• x-values and y-values

Does the graph represent a function?

• Yes, because the vertical line test shows there are no repeating input values
• No, because the vertical line test shows there are repeating input values

Is this a function? 

• Yes 
• No

What is the domain?

• the set of all x-values

• the set of all y-values

What is the range?

• the set of all x-values

• the set of all y-values

Which of the following functions are non-linear?

Select the correct answers

•  $y\ =\ \left|x\ +\ 3\right|\$  

• y = 3x + 2 

• x = 4 - 3y 

•  $y\ =\ 5\ -\ 3^2$  

•  $y=\frac{1}{x}$  

What is the range?

• {-3, -1, 2, 4}
• {0, 4, 7} 
• {0, 4, 4, 7}
• {7, 4, 0}