Get down with the lingo
Limit
The value that the value of a function f(x) approaches as the input x approaches a specific value.
Piecewise Function
A function defined on an interval expressed as multiple sub-functions, each defined on sub-intervals.
Left-hand Limit
The value a function f(x) approaches as the input x approaches a specific value from the left.
Right-hand Limit
The value a function f(x) approaches as the input x approaches a specific value from the right.
Horizontal Asymptote
A horizontal line that a function f(x) approaches as x approaches ± ∞.
Vertical Asymptote
A vertical line, x = a, where f(x) approaches ± ∞ as x approaches a from the right or left.
Slant Asymptote
A line, y = mx + b, that a function approaches as x approaches infinity.
Curvilinear Asymptote
A non-linear function that another function, f(x), approaches as x approaches infinity.
Hole Of A Function
A value of x (call it a) where f(a) doesn't exist but the limit as x approaches a does.