function notation.notebook
Write the equation for...
y=mx+b
0
Write the equation using the given variables in the chart.
What is the person's pay after 20 hours.
1
function notation.notebook
Write the equation for...
y=mx+b
y=12x+0
0
0
Write the equation using the given variables in the chart.
p=12h+0
What is the person's pay after 20 hours.
p = 12(20)
= $240
2
function notation.notebook
f(x)
)
)
3
(
f
(
g
h(f(x))
)
x
h(
g(x)
)
4
1
(
g
3
function notation.notebook
4
function notation.notebook
5
function notation.notebook
h(x) = 12
h(12)
6
function notation.notebook
a) f(20)
b) f(x) = 20
7
function notation.notebook
c)
g(3)
d) h(f(1))
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function notation.notebook
e) h(2) ­f(3)
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function notation.notebook
f) g(­3)
g) f(g(­2))
h) h(­3)­f(2)
i) g(x) = 27
10
function notation.notebook
i) g(x) = 27
g(x)=3(x­1)
27=3(x­1)
27=3x­3
27+3=3x
30=3x
10=x
f) h(­3)
h(x)=2x ­1
h(­3)=2(­3)2­1
h(­3)=2(9)­1
h(­3)=18­1
h(­3)=17
2
g) f(g(­2))
g(x)=3(x­1)
g(­2)=3(­2­1)
g(­2)=3(­3)
g(­2)=­9
f(g(­2))
f(­9)
f(x)=7x­1
f(­9)=7(­9)­1
f(­9)=­63­1
f(­9)=­64
h) h(­3)­f(2)
h(x)=2x2­1
h(­3)=2(­3)2­1
h(­3)=2(9)­1
h(­3)=18­1
h(­3)=17
f(x)=7x­1
f(2)=7(2)­1
f(2)=14­1
f(2)=13
h(­3)­f(2)
17 ­ 13
4
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function notation.notebook
Function Notation...
c(x) = 5x ­ 2
a(x) = 20 ­ x
t(x) = 3x + x
Evaluate:
t(7) c(x) = 153
c(11) 12
function notation.notebook
a) State the domain & Range.
b) Is this relation a function?
c) State the dependent and independent variables.
d) Write the function notation.
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function notation.notebook
Solution:
a) Domain: { 1, 2, 3, 4, 5 }
Range: {1.27, 2.54, 3.81, 5.08, 6.35, 7.62}
b) Function c) Independent ­ number of marbles
Dependent ­ Mass
d) C(n) = 1.27 n
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function notation.notebook
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