2126 Sketch a possible graph for a function f with the specified properties. (Many

Chapter 1, Problem 22

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Sketch a possible graph for a function $f$ with the specified properties. (Many different solutions are possible.)

(i) the domain of $f$ is $[-2,1]$

(ii) $f(-2)=f(0)=f(1)=0$

(iii) $\lim _{x \rightarrow-2^{-}} f(x)=2, \lim _{x \rightarrow 0} f(x)=0, \text { and } \lim _{x \rightarrow 1} f(x)=1$

Equation Transcription:

$f$

$\left[{-2,\ 1}\right]$

$f(-2)\ =\ f(0)\ =f\ (1)=\ 0$

$\lim\limits_{{x} \rightarrow {{2}^{+}}}f(x)=2,\lim\limits_{{x} \rightarrow {0}}f(x)\ =0,\lim\limits_{{x} \rightarrow {{1}^{-}}}f(x)=1\ \ \$

Text Transcription:

[-2,1]

f(-2)=f(0)=f(1)=0

lim x right arrow -2+ f(x)=2, lim x right arrow 0 f(x)=0, lim x right arrow 1- f(x)=1

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