Freeflows
Piecewise Function Continuity
Let \[f(x) = \begin{cases} 5x^2+2&\text{if } x\le a, \\ 11x &\text{if } x>a.\end{cases} \]Find the smallest possible value for $ a $ if the graph of $ y=f(x) $ is continuous (which means the graph can be drawn without lifting your pencil from the paper).
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- $\frac{a}{b}$
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- 0
- =
- %
- $a^n$
- $a^{\circ}$
- $a_n$
- $\sqrt{}$
- $\sqrt[n]{}$
- $\pi$
- $\ln{}$
- $\log$
- $\theta$
- $\sin{}$
- $\cos{}$
- $\tan{}$
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- $)$
- $[$
- $]$
- $\cap$
- $\cup$
- $,$
- $\infty$