Given the function
, evaluate the following: Homework Help ✎
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?