Math  /  Algebra

QuestionSuppose that the function ff is defined, for all real numbers, as follows. f(x)={x+2 if x15x2 if x>1f(x)=\left\{\begin{array}{ll} -x+2 & \text { if } x \leq 1 \\ 5 x-2 & \text { if } x>1 \end{array}\right.
Graph the function ff. Then determine whether or not the function is continuous.

Studdy Solution
The graph consists of two line segments.
The first segment starts at (1,1)(1, 1) and goes through (0,2)(0, 2) extending to the left.
The second segment starts with an open circle at (1,3)(1, 3) and goes through (2,8)(2, 8) extending to the right.
The function f(x)f(x) is *not* continuous.

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