Download 1.3 Parent Functions and more Study notes Pre-Calculus in PDF only on Docsity!
Copy the parent functions, and then analyze them.
The Identity Function
f ( ) x x
Domain Range Inc/Dec/Con Positive/Negative/Zero Continuity Boundedness Symmetry Extrema Asymptotes End Behavior
The Squaring Function
f ( ) x x^2
Domain Range Inc/Dec/Con Positive/Negative/Zero Continuity Boundedness Symmetry Extrema Asymptotes 8 6 4 2
-5 5 8 6 4 2
-5 5
The Cubing Function
f ( ) x x^3
Domain Range Inc/Dec/Con Positive/Negative/Zero Continuity Boundedness Symmetry Extrema Asymptotes End Behavior
The Reciprocal Function
f ( ) x
x
Domain Range Inc/Dec/Con Positive/Negative/Zero Continuity Boundedness Symmetry Extrema Asymptotes 8 6 4 2
-5 5 8 6 4 2
-5 5
The Natural Logarithm Function
f ( ) x ln x
Domain Range Inc/Dec/Con Positive/Negative/Zero Continuity Boundedness Symmetry Extrema Asymptotes End Behavior
The Sine Function
f ( ) x sin x
Domain Range Inc/Dec/Con Positive/Negative/Zero Continuity Boundedness Symmetry Extrema Asymptotes 8 6 4 2
-5 5 8 6 4 2
-5 5
The Cosine Function
f ( ) x cos x
Domain Range Inc/Dec/Con Positive/Negative/Zero Continuity Boundedness Symmetry Extrema Asymptotes End Behavior
The Absolute Value Function
f ( ) x x
Domain Range Inc/Dec/Con Positive/Negative/Zero Continuity Boundedness Symmetry Extrema Asymptotes 8 6 4 2
-5 5 8 6 4 2
-5 5
