Question:medium
Let \[ f(x)= \begin{cases} ax+3, & x \leq 2 \\ a^2x-1, & x > 2 \end{cases} \] Then the values of \(a\) for which \(f\) is continuous for all \(x\) are:
Let \[ f(x)= \begin{cases} ax+3, & x \leq 2 \\ a^2x-1, & x > 2 \end{cases} \] Then the values of \(a\) for which \(f\) is continuous for all \(x\) are:
Show Hint
When solving continuity problems for piecewise functions, focus exclusively on the "break point." If the individual pieces are polynomials, they are already continuous everywhere else.
Updated On: May 6, 2026
- \( 1 \) and \( -2 \)
- \( 1 \) and \( 2 \)
- \( -1 \) and \( 2 \)
- \( -1 \) and \( -2 \)
- \( 0 \) and \( 3 \)
Show Solution
The Correct Option is C
Solution and Explanation
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