Karteikarten
Chapter 3
Karten in diesem Stapel (14)
- 1Graphing Functionsif f is a function with domain A, the graph is the set of ordered pairs: {(x,f(x)) | xϵA}
f(x)=mx+b is a line
f(x)=b is a horizontal line - 2Vertical Line TestA curve in the coordinate plane is the graph of a function if and only if no vertical line intersects it in more than one point
- 3Average Rate of ChangeARC of y=f(x) between x=a and x=b
Δy/Δx=f(b)-f(a)/(b-a) - 4Vertical Shifts of Graphsif c>0, to graph y=f(x)+c shift y=f(x) up c
to graph y=f(x)-c shift y=f(x) down c - 5Horizontal Shifts of Graphsif c>0, to graph y=f(x-c) shift y=f(x) to the right c
to graph y=f(x+c) shift y=f(x) to the left c - 6Reflections of Graphsto graph y=-f(x), reflect y=f(x) over x-axis
reflect y=f(-x) over y-axis - 7Vertical Stretching and Shrinking of Graphsto graph y=cf(x) where c>1, stretch y=f(x) vertically
If 0 - 8Horizontal Stretching and Shrinking of Graphsto graph y=f(cx) if c>1, stretch y=f(x) horizontally by c
if 0 - 9Even or Odd Functionsif a function satisfies f(-x)=f(x), f is even
if a function satisfies f(-x)=-f(x), f is odd - 10Horizontal Line Testa graph represents a one-to-one function if no horizontal line crosses the graph more than once
- 11Inverse Functions-can only occur in one-to-one functions
-function f with domain A and range B's inverse function f^-1 has domain B and range A
f^-1(y)=x <---> f(x)=y - 12Inverse Function Propertyf is a one-to-one function with domain A and rangeB
f^-1 must satisfy:
(f^-1(f))(x)=x
(f(f^-1))(x)=x - 13Finding the Inverse of a Function1. write y=f(x)
2. solve for x in terms of y
3. switch x and y
4. y=f^-1(x) - 14Graphing an Inverse Functionto graph f^-1, reflect graph f over line y=x
(0,1)--->(1,0)
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- Beschreibung
- College Math 110 Karteikarten am Chapter 3, erstellt von Erin Mooney am 06/07/2015.
- Erstellt von
- Erin Mooney · Jul 2015
- Aktualisiert
- 19 Feb 2016
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