Week 2 Functions Test

Which relation is a function?

• { (1,2), (1,3), (2,4) }

• { (2,3), (3,4), (4,5) }

• { (1,2), (2,2), (3,2) }

• Both B and C

A relation is a function if each input has exactly one output.

• True

• False

From the mapping 1→2, 2→3, 3→4, 3→5. Is this a function?

• Yes

• No

Given relation { (2,5), (3,6), (2,7), (4,8) }, is this a function?

• No

• Yes, because each input has a unique output

• Yes, because all outputs are different

• Yes, because it is a set of ordered pairs

Which of these mappings represents a function?

• 1→3, 2→3, 3→4

• 1→2, 2→4, 2→5

Fill in the blank: A function assigns _____ output(s) to each input.

• one

• two

• three

• zero

9. Table x:1,2,3,4; y:5,6,7,8. Is this a function? Explain briefly.

• Yes, because each x-value is paired with exactly one y-value.

• No, because some x-values are paired with more than one y-value.

• No, because some y-values are paired with more than one x-value.

• Yes, because each y-value is paired with exactly one x-value.

Is the relation a function? Why.

• Yes, because the x-value 11 has two y-values pair with it.
• Yes, because each x-value has only one y-value paired with it.
• No, because the x-value 11 has two y-values pair with it.
• No, because each x-value has only one y-value paired with it.

Is this graph a function or not a function? 

• Function 
• Not a Function 

Which graph does NOT pass the vertical line test?

• Graph 1
• Graph 2
• Graph 3
• Graph 4