MAT_1143-feb_4 - Feb 4 2011 Sections 1.4-1.5 Click to edit...

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Click to edit Master subtitle style Feb 4, 2011 Sections 1.4-1.5
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More Terms About Functions Domain-set of possible inputs May be specified Like Positive Reals Or all reals but x = 3 May be merely implied Codomain-set of POSSIBLE outputs Usually merely implied (all reals) Range-set of actual outputs—what we can get out of the function given the input values. Can tell from graph if given
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What is range here? A: All reals 3 0 B: [0, ) C: all reals D: Not given by graph
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Implied Domain Avoid numbers where rule is undefined Division by 0 6/2 = ? 6/2=3 because 2*3=6 6/0=? Would need 0*?=6 0/0=? Would need 0*?=0 and no UNIQUE answer So division by 0 produces NO or too many answers.
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Implied Domain Consider f(x)=1/(x+1) A: Avoid x =0 B: Avoid x = 1 C: Avoid x = -1 D: Domain is all reals A key question in Calculus is what happens to f(x) as x gets closer to –1.
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Implied Domain Avoid numbers where rule is undefined
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