Solved: Graph the functions in Exercises 9 and 10. Then

Chapter 2, Problem 9E

(choose chapter or problem)

Graph the functions in Exercises 9 and 10. Then answer these questions.

a. What are the domain and range of $f$?

b. At what points $c$, if any, does $\lim _{x \rightarrow c} f(x)$ exist?

c. At what points does only the left-hand limit exist?

d. At what points does only the right-hand limit exist?

$f(x)=\left\{\begin{array}{ll}\sqrt{1-x^{2}}, & 0 \leq x<1 \\1, & 1 \leq x<2 \\2, & x=2\end{array}\right.$

Equation Transcription:

$f$

$\lim\limits_{{x} \rightarrow {c}}f(x)$

$f(x)=$ { ${\ }_{1,\ \ \ \ \ \ 1\leq{}\ x<2}^{1-{x}^{2},\ \ 0\leq{}\ x\ <\ 1}$

${\ }^{\ \ \ \ \ \ \ \ \ 2,\ \ \ \ \ \ x=2}$

Text Transcription:

Lim_x right arrow c f(x)

f(x)={2,1< or = x < 2 1, 1 x<21-x2, 0 x < 1

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