Questions: Create a sketch of a function f(x) that has the following characteristics. - lim x → 3+ f(x)=2 - lim x → 3- f(x)=-1 - f(3)=5

The function \( f(x) \) has the following characteristics:

• As \( x \) approaches 3 from the right, \( f(x) \) approaches 2.
• As \( x \) approaches 3 from the left, \( f(x) \) approaches -1.
• At \( x = 3 \), \( f(x) = 5 \).

{"axisType": 3, "coordSystem": {"xmin": 0, "xmax": 6, "ymin": -2, "ymax": 6}, "commands": ["y = 2 if x > 3 else -1", "y = 5 if x == 3 else None"], "latex_expressions": ["$\\lim_{{x \\to 3^+}} f(x)=2$", "$\\lim_{{x \\to 3^-}} f(x)=-1$", "$f(3)=5$"]}