- #1
jordan123
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Find the values of a and b that make f continuous everywhere??
1. Find the values of a and b that make f continuous everywhere??
[itex]f(x)=\begin{cases}
\frac{x^2-4}{x-2}&\text{if } x\x<2\\
ax^2-bx+3 &{if} 2<x<3\\
2x-a+b&\text{if } x\geq 3\end{cases}[/itex]
I don't think it matters what value a and b are, because it is discontinuous at 2, hence it will never be a completely continuous function. No? Shed some light if I am wrong.
1. Find the values of a and b that make f continuous everywhere??
Homework Equations
[itex]f(x)=\begin{cases}
\frac{x^2-4}{x-2}&\text{if } x\x<2\\
ax^2-bx+3 &{if} 2<x<3\\
2x-a+b&\text{if } x\geq 3\end{cases}[/itex]
The Attempt at a Solution
I don't think it matters what value a and b are, because it is discontinuous at 2, hence it will never be a completely continuous function. No? Shed some light if I am wrong.