- #1
BrianHare
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Homework Statement
Find c such that it makes f(x) continuous.
Homework Equations
[itex]
f(x)=\begin{cases}
2x+c&x < -5\\
3x^2&-5 \leq x < 0\\
cx^2&0 \leq x\\
\end{cases}
[/itex]
The Attempt at a Solution
I know that
[tex] \lim_{x\to 5^-}3x^2 [/tex] = 2x+c
and
[tex] \lim_{x\to 0^+}3x^2 [/tex] = cx^2
Which makes the 2 points where it disconnects at (-5, 75) and (0,0)
Given that I make 2x+c = 75, where x=-5. I get C= 85, and since cx^2=0 is any real, does that mean the answer is c=85?
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