Vocab
Identifying Functions
Domain and Range
Function Notation
100
X numbers are called
Domain
100
Is the following relation a function?
(1, 0), (2, 2), (3, 4)?
Yes
100
How do we order the domain and range?
From least to greatest.
100
F(x) is the same as what letter in an equation?
Y
200
y numbers are called
Range
200
Is the following relation a function?
(1, 1), (4, 1), (5, 2), (1, 2), (2, 5)?
No
200
(1,2),(5,5),(-3, 8),(1,6),(-9,-2)
Are the given Domain and Range correct. Why or why not?
Domain:{1,5,-3,1,-9}
Range:{2,5,8,6,-2)
No because they are not in order from least to greatest and the domain has two 1's listed.
200
f(x) = -3x + 1. Find f(6)
f(6)=-17
300
What is a relation?
A set of ordered pairs
300
Does the following table represent a function?
x y
1 2
2 5
6 2
2 9
5 1
No
300
What is the domain and range for the given table?
x y
-5 3
3 6
-1 -4
0 0
-1 3
Domain: {-5,-1,0,3}
Range: {-4,0,3,6}
300
g(x) = x2 + 7 Find g(-3)
g(-3) = 16
400
What is a function?
A relation in which each x-value only has 1 y-value.
400
Is this a function and why?
What is no, because x's repeat at 8
400
What is the domain and range for the given ordered pairs?
(1,2),(5,5),(-3, 8),(1,6),(-9,-2)
Domain: {-9,-3,1,5}
Range: {-2,2,5,6,8}
400
j(x)= -2x2+ 9 Find j(-4)
j(-4) = 23
500
What is do we call equations that are straight lines?
Linear Equations
500
Is this a function and why?
What is yes, because the x's are all different
500
{(-3,1),(4,-3),(-3,7),(-1,7),(7,6)}
Which is the correct domain and range for the given ordered pairs?
a. Domain: {-3,4,-3,-1,7} Range: {1,-3,7,7,6}
b. Domain: {-3,-3,-1,4,7} Range: {-3,1,6,7,7}
c. Domain: {-3,-1,4,7} Range: {-3,1,6,7}
d. Domain: {-3,-1,4,7} Range: {-3,1,6,7,7}
c. Domain: {-3,-1,4,7} Range: {-3,1,6,7}
500
f(x)=2x2+3x-4
h(x)= -x2+8
Find f(1) + h(1)
f(1)=1
h(1)=7
f(1)+h(1)=8