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Math180

Math180

Math180. Review of Pre-Calculus. Definitions. A real-valued function f of a real variable x from X to Y is a correspondence (rule) that assigns to each number x ? X exactly one number y in Y .

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341 views • 25 slides
Math180

Math180

Math180. Review of Pre-Calculus. Definitions. A real-valued function f of a real variable x from X to Y is a correspondence (rule) that assigns to each number x ? X exactly one number y in Y .

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252 views • 25 slides
L4.3 Reflecting Graphs and Symmetry

L4.3 Reflecting Graphs and Symmetry

L4.3 Reflecting Graphs and Symmetry. Reflections are something you do to a function You reflect a function over a line Symmetry is an attribute that a function may possess A graph may be symmetric wrt a line or a point. Warmup. Working in pairs, complete Activities #1-4 on p131 of textbook

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360 views • 16 slides
4.1 Graphs of the Sine & Cosine Functions

4.1 Graphs of the Sine & Cosine Functions

4.1 Graphs of the Sine & Cosine Functions. A function f is periodic if f ( x + h ) = f ( x ) for every x in domain of f Period of f = smallest positive number h One cycle of graph is completed in each period.

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264 views • 9 slides
2.1 Graphs of Basic Functions and Relations; Symmetry

2.1 Graphs of Basic Functions and Relations; Symmetry

2.1 Graphs of Basic Functions and Relations; Symmetry. Quiz. Fill in the blank below: Given a function f is defined on I, if f increases on I, then for any x 1 <x 2 , f(x 1 )___f(x 2 ). Increasing, Decreasing and constant functions. y. x. y. x. y. x. Basic Functions. Symmetry.

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297 views • 8 slides
4.1 Graphs of the Sine & Cosine Functions

4.1 Graphs of the Sine & Cosine Functions

4.1 Graphs of the Sine & Cosine Functions. A function f is periodic if f ( x + h ) = f ( x ) for every x in domain of f Period of f = smallest positive number h One cycle of graph is completed in each period.

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88 views • 8 slides
Cardioids and Rose Curves

Cardioids and Rose Curves

Cardioids and Rose Curves. After Exploration (p. 574). THEOREM: Let a be a (+) real number, then. r = 2a sin ? circle: radius a; center (0, a). r = -2a sin ? circle: radius a; center (0, -a). r = 2a cos ? circle: radius a; center (a, 0).

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231 views • 7 slides

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