- #1

BrianHare

- 3

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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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