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Calculus
Precalculus

1Functions

2Which functions pass the VERTICAL LINE TEST?!!

3How to find DOMAIN AND RANGE for a function

4Finding values and domain and range from a graph

5Determining if a function is even, odd or neither

6How to classify functions

7Equation Modeling

8Modeling the equation of a piecewise defined function from its graph

9Sketching a graph from a story problem

10Equation of a line in pointslope form

11Equation of the line in slopeintercept form

12Least squares line

13Sketch the graph of a parabola

14How to find the CENTER AND RADIUS of a circle

15Sketch the graph of a circle

16Combinations of functions and their domains

17Composite functions

18Composite functions and their domains

19Describing transformations algebraically

20Using transformations to sketch a graph

21Determine whether a function is 1 to 1

22How to find the INVERSE OF A FUNCTION

23Finding the linear function given two points on its inverse

24Use laws of logarithms to simplify a logarithmic function

25Use the quadratic formula to find roots of the function

26Completing the square of a quadratic function

27Polynomial long division for rational functions

28Hyperbolic identities

29How to remember the unit circle
Limits & Continuity

30Limits and Continuity

31Solving limits with substitution

32How to solve LIMITS BY FACTORING

33CONJUGATE METHOD for solving limits

34Use limit laws to evaluate limits of combination functions

35How to find limits on CRAZY GRAPHS

36Limits at infinity

37Infinite limits

38Limits of trig functions: Everything you need to know!

39How to find the ONESIDED LIMITS of a function

40How to prove that the limit does not exist

41The precise definition of the limit EXPLAINED!

42Finding delta from a graph and the epsilondelta definition of the limit

43How to find the limit using SQUEEZE THEOREM

44Limit of an inequality, with squeeze theorem

45Finding the domain by investigating continuity

46How to make a function continuous (for a piecewise function)

47How to find REMOVABLE DISCONTINUITIES

48How to use the Intermediate Value Theorem

49Intermediate value theorem to prove a root in an interval

50Prove the equation has at least one real root

51Limits of composite functions  How to find them?

52Jump discontinuities  What are they?
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