1. Tardigrade
  2. Question
  3. Mathematics
  4. Function f(x) = begincases x - 1, x < 2 2x - 3 , x ≥ 2 endcases is continuous function:

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Q. Function $f(x) = \begin{cases} x - 1, & x < 2\\ 2x - 3 , & x \geq 2 \end{cases}$ is continuous function:

Continuity and Differentiability

Solution:

Note: A polynomial function is always a continuous function.
And the given question is a polynomial function with degree 1.
Thus the continuity is for all real value of x.