### Home > CALC > Chapter Ch2 > Lesson 2.1.1 > Problem 2-14

2-14.

Given the function

, evaluate the following: Homework Help ✎ *f*(2)As

*x*→ 2^{+},*y*→ ?As

*x*→ 2^{-},*y*→ ?What do the results from parts (b) and (c) indicate about the graph?

Notice the inequality symbols. *f*(2) exists as part of the right side of *f*(*x*) not the left.

*f*(2) = 2(2)+3 = 7

Compare this question to part (a).

Compare this question to part (a). Even though *f*(2) does not exist in the left side of the equation, since both sides approach *x* = 2 we can evaluate what it approaches.

*x* →2^{−}, *y* →(2)²−1 or *y* →3

Is *f*(*x*) continuous at *x* = 2? In other words, does *f*(*x*) approach the same *y*-value from the left and from the right of *x* = 2?