Question:medium

The relationship between \( a \) and \( b \) for the continuity of the function \( f(x) = \begin{cases} ax + 1, & x \leq 3 \\ bx + 3, & x \gt 3 \end{cases} \) at \( x = 3 \) is __________.

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For piecewise functions, continuity at a point means left limit equals right limitAlways equate both expressions at that point.
Updated On: May 6, 2026
  • \( 3b = 3a + 2 \)
  • \( 3a = b + 2 \)
  • \( 3a = 3b + 2 \)
  • \( a = 3b - 2 \)
Show Solution

The Correct Option is C

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