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Functions, Graphs, and Limits

Functions, Graphs, and Limits

Calculus Terms

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 +infinity or -infinity.

Vertical Asymptote

A vertical line x = a if f(x) approaches +infinity or -infinity as x approaches a from right or left.

Slant Asymptote

A line y = mx + b of a function f(x) if f(x) approaches mx + b as x approaches infinity.

Curvilinear Asymptote

A line if f(x) approaches a curve as x approaches infinity.

Hole Of A Function

A value of x where the function has no value.

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