Vocabulary
What is a function?
a special type of relation that pairs each domain value (x-value) with exactly one range value (y-value).
Name all the quadrants?
Quadrant I
Quadrant II
Quadrant III
Quadrant IV
give the domain of the ordered pair (2,20)
domain {2}
evaluate when x=12
y=12+5=17
or f(12)=12+5=17
f(x)=x2
evaluate f(1), f(2), and f(3)
f(1)=12=1
f(2)=22=4
f(3)=32=9
What is x-value?
domain, input
Give an example of ordered pair
as long as it appears to be like (x,y)
ex (2,3)
Give the domain of (2,3), (3,9), (5,6)
domain {2,3,5}
f(x)=5x-4
evaluate when x=8
y=5*8-4=36
or f(8)=5/8-4=36
f(x)=5x2+1
evaluate f(3)
f(3)=5*32+1
=5*9+1
=46
What is y-value?
range, output
Which axis is horizontal?
x-axis
Give the range of (2,3), (4, 8), (6,9), (8,3)
Range {3,8,9}
f(x)=-6x+2
evaluate when x=3
f(3)=-6*3+2=-16
f(x)=x3+6
evaluate f(5)
f(5)=53+6
=5*5*5+6
=125+6
=131
What is a relation?
A relation may be viewed as ordered pairs, mapping diagram, table, equation, or written in sentences.
Give an ordered pair that is in Quadrant II?
(-x, y)
ex (-2,4)
y=2x+3
(1,5) (2,7) (3,9) (4,11) (5,13)
give the domain and range?
domain {1,2,3,4,5}
range {5,7,9,11,13}
evaluate g(2)
g(2)=-5*2+10=0
f(x)=2x3+10
how much is f(4)?
f(4)=2*43+10
=2*4*4*4+10
=128+10=138
How to determine whether a relation is a function?
1. must use all the x's
2. the x value can only be assigned to one y
Give an example of a dot in Quadrant IV
(x, -y)
(4, -5)
y=x2
(1,1) (2,4) (3,9) (4,16) (5,25)
give the domain and range
domain {1,2,3,4,5}
range {1,4,9,16,25}
g(t)=12x-5
evaluate g(3) and g(5)
g(3)=12*3-5=31
g(5)=12*5-5=55
f(x)= -x3+24
evaluate f(3)
f(3)= -33+24
= -27+24
= -3