1. Objective - To write and evaluate simple functions.
Input
Function
Output
y = 5x x y
Input
Output x y 2 10 2 10 3 15 3 15 4 20 4 20 5 25 . 6 30 7
y = 5x 35 7 35

2. Logan assembles outdoor BBQs for $8 each.
Write a rule that represents his pay, y, in terms
of the number of BBQs he assembles, x.
Domain =
Input = x
= the # of BBQs assembled.
Range =
Output = y
= amount Logan is paid.
Output
Input
y =
8 x
If Logan assembles 20 BBQs last week, what
would he get paid?
y = 8 x
y = 8 20
y = 160
$160

3. Todd is 3 years older than his brother, Mark. If
Mark is x years old and Todd is y years old, write
a rule that relates their ages over time.
Domain =
Input = x
= Mark’s age.
Range =
Output = y
= Todd’s age.
Output
Input
y =
x + 3
When Mark is 28 years old, how old will Todd be?
y = x + 3
y =
Todd will be 31.
y = 31

4. Relation - Any set of ordered pairs
Function - A type of relation where there
is exactly one output for every input. For
every x there is exactly one y. x y x y 1 6 1 6 2 7 2 7 3 7 3
Function

5. Relation - Any set of ordered pairs
Function - A type of relation where there
is exactly one output for every input. For
every x there is exactly one y. x y x y 1 6 1 6 1 7 2 7 2 7
Not a Function

6. A rule or equation where there is
exactly one output for every input.
Function -
For every
x-value there is exactly one y-value. x -1 1 2 4 y -2 2 4 6 x -1 1 2 4 y 2 4 6 x 1 2 4 y -2 2 4 6
No x-
value
repeats
No x-
value
repeats
x-value
repeats -1 1 -2 2 2 1
Yes, it is a
function
Yes, it is a
function
No, it is not
a function

7. Vertical Line Test - Functionsy y y y x x x x y y y y x x x x

8. Vertical Line Test - Functionsy y y y x x x x
Function y y y y x x x x

9. Vertical Line Test - Functionsy y y y x x x x
Function
Function y y y y x x x x

10. Vertical Line Test - Functionsy y y y x x x x
Function
Function
Not a
Function y y y y x x x x

11. Vertical Line Test - Functionsy y y y x x x x
Function
Function
Function
Not a
Function y y y y x x x x

12. Vertical Line Test - Functionsy y y y x x x x
Function
Function
Function
Not a
Function y y y y x x x x
Not a
Function
Function
Not a
Function
Not a
Function

13. x y Tell whether the relation below is a function. input output 1) 3)1 x 5
Function
Not a
Function 2 3 2) x y 4)
input
output -3 -1 1 2 3 -2 4 -1
Not a
Function 5
Not a
Function 6

14. Write a function rule that relates x and y in the
tables below. x 1)
y = 4x y 2) x
y = x + 5 y x 3) y 4) x
y = 3x + 2 y