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MATH / Let f(x) = begin{cases} 5x^2+2&text{if } xle 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 c…

Problem

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problem

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 aa if the graph of y=f(x)y=f(x) is continuous (which means the graph can be drawn without lifting your pencil from the paper).
Plain-text mathematical notation (without MathML)
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).
Original LaTeX notation
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).

level

Level 5

type

Algebra

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Source and history

task_id
26aff533-03bd-500f-bb99-aabc0e0f93a2
task_key
algebra--test--26aff533-03bd-500f-bb99-aabc0e0f93a2
task_revision_id
1
config / split
algebra / test

Official source

initial import