1.1 Mappings
Classify the equation as FUNCTION or NOT FUNCTION
f(x)=(x+3)/2
FUNCTION
f(x) can also be written as:___________
f:x->
What does the following notation mean?
f^2(x)
Function f(x) into itself
The domain of a function is the ________ of the inverse.
The range of a function is the _________ of the inverse.
1. Range
2. Domain
Classify the equation as FUNCTION or NOT FUNCTION
g(x)=+-sqrt(x-2)
NOT FUNCTION
Domain refers to the set of ________ values.
Range refers to the set of ________ values.
Input (x)
Output (y)
f(x)=4x+5
and
g(x)=x/4
Find fg(x)
x+5
A function has an inverse if its mapping is:
_________
One-One
Classify the equation according to its mapping:
h(x)=(x-3)^2+5
Find the domain and range of the function:
f(x)=x-5
Domain: All real numbers
Range: All real numbers
f(x)=x^2
and
g(x)=x-5
Find fg(x)
x^2-10x+25
Find the inverse of the function:
f(x)=9x-27
f^-1(x)=(x+27)/9
Classify the function according to its mapping:
f(x)=9-x/3
One-One
Find the range of the function:
f(x)=3+sqrt(x-2)
D: x>=2
f(x)>=3
h(x)=(x-7)^2+2
and
g(x)=3x+7
Find hg(x)
9x^2+2
f(x)=3/x+7
and g(x)=4x+3
Find
gf^-1(x)
gf^-1(x)=12/(x-7)+3
Classify the equation according to its mapping:
x=3
One-Many
Find the range of the function:
f:x->10-(x-3)^2
D: x>=2
f(x)>=10
f(x)=(x+2)^2-5
and
g(x)=sqrt(x+6)-2
Find fg(x)=6
x=5
f(x)=(x-4)^2+5 ; x<=4
Find the composite function
ff^-1(x)
ff^-1(x)=x