1 .ca



|February 26/27, 2009 | | |

|MPM2D1 | |Name: ________________________ |

4.1 Functions – Worksheet

1. Give the domain and range of each relation. State whether it is a function or not.

|(a) |(b) |

|[pic] |Function: |[pic] |Function: |

| |y / n | |y / n |

| | | | |

| |Domain: | |Domain: |

| |_________ | |_________ |

| | | | |

| | | | |

| |Range: | |Range: |

| |_________ | |_________ |

|(c) |(d) |

|[pic] |Function: |[pic] |Function: |

| |y / n | |y / n |

| | | | |

| |Domain: | |Domain: |

| |_________ | |_________ |

| | | | |

| | | | |

| |Range: | |Range: |

| |_________ | |_________ |

|(e) | |(f) | |

|[pic] |Function: |[pic] |Function: |

| |y / n | |y / n |

| | | | |

| |Domain: | |Domain: |

| |_________ | |_________ |

| | | | |

| | | | |

| |Range: _________| |Range: |

| | | |_________ |

|(g) | |(h) | |

|[pic] |Function: |[pic] |Function: |

| |y / n | |y / n |

| | | | |

| |Domain: | |Domain: |

| |_________ | |_________ |

| | | | |

| | | | |

| |Range: | |Range: |

| |_________ | |_________ |

2. What is the range of the function [pic] if the domain is {4, 5, 6}?

3. If [pic], find the value of y for each value of x.

(a) 0 (b) 3 (c) -2 (d) 0.1

4. Ordered Pairs:

(a) {(1, 6), (2, 4), (3, 6), (4, 8)} (b) {(-1, 0), (-1, 3), (1, 0), (1, 3)}

DOMAIN = DOMAIN =

RANGE = RANGE =

FUNCTION = ( Yes / No) FUNCTION = ( Yes / No)

5. Table of values:

|[pic] |-3 |-2 |-1 |0 |1 |

|[pic] |-6 |-4 |-2 |0 |2 |

DOMAIN =

RANGE =

FUNCTION = ( Yes / No)

6. Graph:

|(a) |(b) |

|[pic] |[pic] |

|Function: y / n |Function: y / n |

|Domain: ___________ Range: ____________ |Domain: ___________ Range: ___________ |

| | |

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[pic]

[pic]

[pic]

[pic]

[pic]

[pic]

[pic]

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