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function family album
8
Transcript
Natural Logarithm
f(x)= inX
order pairs? (1,0)
cosine
f(x)=cosX
*continuous
*unbounded
*D? (0,P.I)
*R?(N.I,P.I)
*increasing? (0,P.I)
*decreasing?-----
*x-int?(1,0)
*y-int?----
*neither
Exponential
f(x)=x^e
order pairs?(0,1)
*continuous
*bounded
*D? (N.I,P.I)
*R?[-1, 1]
*X-int? pi/2 + pi(n)
*Y-int?(0,1)
*even
*inc?
*dec?
order pairs?(0,1)
*continuous
*bounded below
*neither
*D? (N.I,P.I)
*R? (o,P.I)
*increasing?(N.I,P.I)
*decreasing?(P.I,N.I)
*x-int?--
*y-int?--
square root
order pairs? (0,0)
*continuous
*bounded
*D? [0,P.I)
*R?[0,P.I)
*increasing?(0, P.I)
*decreasing?-----
*neither
*absolute min?(0,0)
*X-int/Y-int? 0
cubic
Quadratic
f(x)=x^3
f(x)=x^2
order pairs? (0,0)
*order pairs?(0,0)
* continuous
* bonded below
*x-int/ y-int? 0
*increasing?(0,P.I)
*decreasing?(N.I,0)
*D?(P.I,N.I)
*R?[0,P.I)
*even
*min?(0,0)
*order pairs?(0,0)
*continuous
*unbounded
*x-int/y-int? 0
*D? (N.I,P.I)
*R? (N.I,P.I)
*odd
*increasing?(P.I,N.I)
*decreasing?---
*x-int?0
*y-int?0
Absolute value
f(x)=[x]
Reciprocal
f(x)= 1/x
*continuous
*bounded below
*x-int/y-int? 0
*D? (negative infinity, positive infinity)
*R?[0, positive infinity)
*decreasing?(negative infinity, o)
*increasing?-----
*min?(0,0)
*even
*order pairs?((0,0)
*order pairs?(1,1),(-1,-1)
no intercepts
*discontinuous
*unbounded
*X-int? undefined
*y-int?undefined
*decreasing? (N.I, 0) and (0,P.I)
*increasing?-----
*odd
*D/R? (N.I,0)u(0, P.I)
Function Family album
Sine
f(x)= sinX
and more (:
Linear
Greatest Integer
f(x)=int(x)
f(x)=x
order pairs?(0,1)
*continuous
*bounded
*odd
*D? (N.I,P.I)
*R?[-1, 1]
*X-int? (pi, 0)
*Y-int?(0,0)
*dec?
*inc?
*discontinuous
*unbounded
*D?(N.I,P.I)
*R? the set of integers
*x-int? in the interval [0,1)
*Y-int?(0,0)
*constant
*decreasing/inc?-------
*neither
* continuous
* unbounded
* odd
* Domain/range? (negative infinity, positive infinity)
* x-int/y-int? 0
* increasing?(N.I,P.I)
* decreasing?----
*order pairs?(0,0)
My Basic Function Project
Cube Root
order pairs?(0,0)