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Instantaneous rate of change
How fast something is changing at one exact point.
Slope of the tangent line to a function at a specific point.
The derivative of a function at a given value of 𝑥.
Average rate of change
How much a function changes over an interval
Interpretation of a limit statement:
As x approaches _, f(x) approaches _.
Limit.
What value a function is approaching as x gets closer to a certain number.
One sided limit
A y-value a function approaches as you approach a x-value from either the left or right side.
Continuity
A function is continuous if its graph has no breaks, holes, or jumps at a point