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Published byRafael Mustin Modified about 1 year ago

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2.1 Graphs of Basic Functions and Relations; Symmetry

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Quiz Fill in the blank below: Given a function f is defined on I, if f increases on I, then for any x 1

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Increasing, Decreasing and constant functions Increasing function Whenever x 1

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Basic Functions

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Symmetry x y f(x) Symmetric WRT y axis Symmetric WRT x axisSymmetric WRT the origin Symmetry WRT the y axis: if (a,b) is on f(x), then (-a,b) is also on f(x) Symmetry WRT the x axis: if (a,b) is on f(x), then (a, -b) is also on f(x) Symmetry WRT the origin: if (a,b) is on f(x), then (-a,-b)is also on f(x)

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Even and Odd Functions Even Function: f(x)=f(-x) for all x in the domain. Symmetric WRT the y-axis Odd Function: f(x)=-f(x) for all x in the domain. Symmetric WRT the origin

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Testing Functions for Symmetry f(x)=3x 3 -x f(x)=x 4 -7x 2 +6 f(x)=x 3 -x+3

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Homework PG. 93: 18-75(M3) KEY: 18, 30, 54, 66 Reading: 2.2 Vertical & Horizontal Shifts Important due dates: Feb. 11 th Project 1 Feb. 14 th Deadline for skilltest 1 Feb. 15 th -16 th Exam 1

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