Properties of Functions

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

Is this graph a function or not a function? 

• Function 
• Not a Function

What is the domain of the graph?

• 1≤ x ≤ 4
• 1 < x < 4
• 1≤ y ≤ 4
• 1 < y < 4

How many relative minimums does this function have?

• 1
• 2
• 3
• 4

What is the absolute maximum?

• None

• All real numbers

• 6.5

• 1

What is the domain and range of the function?

• Domain: x ≤ 6.5; Range: all real numbers

• Domain: all real numbers; Range: y ≤ 6.5

What is the y intercept?

• x = 1

• y = 1

• (2,0)

• (0,2)

What are all the x-intercepts?

• (-2.55, 0), (2.55, 0)
• (-3,0), (-2,0), (2,0), (3,0)
• (0, 36)
• (-∞,∞)

What is g(7) if:

• -17
• -13 
• 13       
• 17

Using the pictured graph, what is f(-3)? 

• -3
• -1
• 1
• 3