Post on 31-Jul-2018
transcript
1.3ParentFunctions
Copy the parent functions, and then analyze them.
1.
The Identity Function
( )f x x
Domain
Range
Inc/Dec/Con
Positive/Negative/Zero
Continuity
Boundedness
Symmetry
Extrema
Asymptotes
End Behavior
2.
The Squaring Function
2( )f x x
Domain
Range
Inc/Dec/Con
Positive/Negative/Zero
Continuity
Boundedness
Symmetry
Extrema
Asymptotes
End Behavior
8
6
4
2
-2
-4
-6
-8
-5 5
8
6
4
2
-2
-4
-6
-8
-5 5
1.3ParentFunctions 3.
The Cubing Function
3( )f x x
Domain
Range
Inc/Dec/Con
Positive/Negative/Zero
Continuity
Boundedness
Symmetry
Extrema
Asymptotes
End Behavior
4.
The Reciprocal Function
1( )f x
x
Domain
Range
Inc/Dec/Con
Positive/Negative/Zero
Continuity
Boundedness
Symmetry
Extrema
Asymptotes
End Behavior
8
6
4
2
-2
-4
-6
-8
-5 5
8
6
4
2
-2
-4
-6
-8
-5 5
1.3ParentFunctions 5.
The Square Root Function
( )f x x
Domain
Range
Inc/Dec/Con
Positive/Negative/Zero
Continuity
Boundedness
Symmetry
Extrema
Asymptotes
End Behavior
6.
The Exponential Function
( ) xf x e
Domain
Range
Inc/Dec/Con
Positive/Negative/Zero
Continuity
Boundedness
Symmetry
Extrema
Asymptotes
End Behavior
8
6
4
2
-2
-4
-6
-8
-5 5
8
6
4
2
-2
-4
-6
-8
-5 5
1.3ParentFunctions 7.
The Natural Logarithm Function
( ) lnf x x
Domain
Range
Inc/Dec/Con
Positive/Negative/Zero
Continuity
Boundedness
Symmetry
Extrema
Asymptotes
End Behavior
8.
The Sine Function
( ) sinf x x
Domain
Range
Inc/Dec/Con
Positive/Negative/Zero
Continuity
Boundedness
Symmetry
Extrema
Asymptotes
End Behavior
8
6
4
2
-2
-4
-6
-8
-5 5
8
6
4
2
-2
-4
-6
-8
-5 5
1.3ParentFunctions 9.
The Cosine Function
( ) cosf x x
Domain
Range
Inc/Dec/Con
Positive/Negative/Zero
Continuity
Boundedness
Symmetry
Extrema
Asymptotes
End Behavior
10.
The Absolute Value Function
( )f x x
Domain
Range
Inc/Dec/Con
Positive/Negative/Zero
Continuity
Boundedness
Symmetry
Extrema
Asymptotes
End Behavior
8
6
4
2
-2
-4
-6
-8
-5 5
8
6
4
2
-2
-4
-6
-8
-5 5
1.3ParentFunctions 11.
The Greatest Integer Function
( )f x x
Domain
Range
Inc/Dec/Con
Positive/Negative/Zero
Continuity
Boundedness
Symmetry
Extrema
Asymptotes
End Behavior
12.
The Logistic Function
1( )
1 xf x
e
Domain
Range
Inc/Dec/Con
Positive/Negative/Zero
Continuity
Boundedness
Symmetry
Extrema
Asymptotes
End Behavior
8
6
4
2
-2
-4
-6
-8
-5 5
8
6
4
2
-2
-4
-6
-8
-5 5