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2.5 Stuff

2.5 Stuff. A function is continuous over an interval of its domain if its hand-drawn graph over that interval can be sketched without lifting the pencil from the paper. 2.5 Stuff. If a is in the domain of a function f ,

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2.5 Stuff

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  1. 2.5 Stuff • A function is continuous over an interval of its domain if its hand-drawn graph over that interval can be sketched without lifting the pencil from the paper.

  2. 2.5 Stuff If a is in the domain of a function f, we say that the value f(a) is a relative maximum of fif there is an interval (x1, x2) containing a such that for every x in the interval (x1, x2) we say that the value f(a) is a relative minimumof fif there is an interval (x1, x2) containing a such that for every x in the interval (x1, x2)

  3. 2.5 Stuff

  4. 2.5 Stuff • A function f is called an even function if for each x in the domain of f, –x is also in the domain of f and f(–x) = f(x) • The graph of an even function is symmetric about the y-axis.

  5. 2.5 Stuff A function f is called an odd function if for each x in the domain of f, –x is also in the domain of f and f(–x) = – f(x) The graph of an odd function is symmetric about the origin.

  6. 2.5 Stuff Even function: f(–x) = f(x) Odd function: f(–x) = – f(x)

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