A second long-distance telephone service charges $0.09 per minute for calls lasting 10 minutes or...
Question:
A second long-distance telephone service charges $0.09 per minute for calls lasting 10 minutes or more and $0.18 per minute for calls lasting less than 10 minutes.
(A) Write a piecewise definition of the charge G(x) fora long-distance call lasting x minutes.
(B) Graph G(x) for {eq}0 < x \leq 40. {/eq}
(C) Find {eq}\lim_{x \rightarrow 10^-} G(x), \lim_{x \rightarrow 10^+} G(x), {/eq} and {eq}\lim_{x \rightarrow 10} G(x) {/eq}, whichever exist.
Limit:
Limit indicates approaching value of function at particular point.
When left hand side limit is equal to right hand side, we can say limit is exist otherwise do not exists.
If {eq}\displaystyle \lim _{x\to a^-}\:f\left(x\right)=\lim _{x\to a^+\:}f\left(x\right)\:\:\:\:\:\:\:\:\:\:\:Limit\:exist {/eq}
And
{eq}\displaystyle \lim _{x\to a^-}\:f\left(x\right)\ne \lim _{x\to a^+\:}f\left(x\right)\:\:\:\:\:\:\:\:\:\:Limit\:\:Do\:not\:exist {/eq}
Answer and Explanation: 1
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Telephone service charges $0.09 per minute for calls lasting 10 minutes or more
and $0.18 per minute for calls lasting less...
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