genmath

1. REPRESENTING
FUNCTIONS

2. REVIEW
1. It is the set of first coordinates.
2. It is the set of second coordinates.
Range Domain Absciss
a
Range Domain Absciss
a

3. REVIEW
1. Find the domain and range of the given
ordered pairs.
Domain
{(1, -2), (2, -3), (0, 5), (-1, 3), (4, -5), (-1, 5), (4, -4)}
Range
{-1, 0, 1, 2, 4}
{-5, -4, -3, -1, 3, 5}

4. RELATION
FUNCTION
It is a set of ordered pairs.
It is a relation in which each element of the
domain corresponds to exactly one element of
the range.

5. Functions can be represented in different
ways
a table of values
ordered pairs
Graph, and
an equation
1
2
3
4
x -2 -1 2 4 5
y -10 -8 -3 2 4
{(-2, -10), (-1, -8), (2, -3), (4, 2), (5, 4)}
y = 3x - 4

6. Which of the following relations are
functions?
f = {(1, 2), (2, 2), (3, 5), (4, 5)}
g = {(1, 3), (1, 4), (2, 5), (2, 6), (3,7)}
h = {(1, 3), (2, 6), (3, 9), …, (n, 3n), …}
X

7. Determine whether the relationship given in
the mapping diagram is a function.
FUNCTION
Input
10
20
30
40
50
Output
15
25
35
45
55

8. Determine whether the relationship given in
the mapping diagram is a function.
NOT A
FUNCTION
Input
2
4
3
Output
20
30
40

9. Determine whether the relationship given in
the mapping diagram is a function.
FUNCTION
Input
a
b
c
d
Output
x
y
z

10. VERTICAL LINE TEST
A graph represents a function if and only if
each vertical line intersects the graph at most
once.
FUNCTION NOT A FUNCTION

11. Which of the following equations describe a
function?
𝑦 = 2𝑥 + 1
𝑥2
+ 𝑦2
= 1
𝑥2
+ 𝑦 − 4 = 0
𝑦 = 𝑥2
− 2𝑥 + 2
𝑦 = 𝑥 + 1
𝑦 =
2𝑥 + 1
𝑥 − 1
X

12. 𝑦 = 2𝑥 + 1
𝑦 = 𝑥2
− 2𝑥 + 2
Linear Equation
Quadratic Equation

13. 𝑦 = 𝑥 + 1
𝑦 =
2𝑥 + 1
𝑥 − 1

14. 𝑥2
+ 𝑦2
= 1
X
Express y in terms of x
𝑦2
= 1 − 𝑥2
𝑦 = ± 1 − 𝑥2

15. Determine whether the following sets of
ordered pairs represent functions or not.
1
2
3
4
{(-7, 4), (-8, 3), (-7, 7), (-20, 8), (5, 9), (3, 1), (2,6)}
{(10, 9), (-2, -16), (-6, 7), (5,8), (8, -16), (-11, 9)}
{(-13, 4), (7, -15), (-13, 9), (6, -12), (-18, 0)}
{(6, 0), (-12, -16), (-6, 10), (20, -7)}
Not a Function
Function
Not a Function
Function

16. Determine whether the following sets of
ordered pairs represent functions or not.
6
5
Input
3
Output
0
2
4
6
Input
x
y
u
v
l
Output
3
5
7
8
10
15
Not a Function
Function

17. State whether each graph represents a
function.
8
7
Function Not a Function

18. Which of the following equation describe a
function?
9
10
𝑦 + 𝑥2
= 6
𝑦2
+ 𝑥2
= 9 Not a Function
Function