Calculus Logs

2. If a function is continuous on [a,b], it will enclose all values between f(a) and f(b)in that range.
5. Represents a complex function with a single term that shares the same end behavior
6. Highest point in a particular section of the graph
7. 2nd Derivative is positive
8. Point where the concavity of a function changes
9. Will exist at any x-value where at least one of the one sided limits equals positive/negative infinity
13. Highest point of the graph
16. Outputs are unbounded
18. Point on a graph of a function where the derivative is 0 or undefined
22. 0/0, means you have a point discontinuity at the value of x
23. Continuous at every point of its domain
24. Limit property for multiplying the limit of a value times a function

1. A logarithm ton the base e
3. If a function is continuous on [a,b], it will have a maximum and a minimum on that interval.
4. Limit exists but limit does not equal value of function
10. If a function is continuous over a closed interval and differentiable over an open interval from a to b, then there exists a number c where the average rate of change equals the instantaneous rate of change.
11. Behavior of a function coming either from the left or right side of the x value
12. One sided limits exist but are not equal to each other
14. Maximizes or minimizes a quantity
15. Finds the slope of the tangent line to a curve at any point on a curve
17. Process of finding the derivative
19. Will exist if the limit as x approaches infinity exists
20. 2nd Derivative is negative
21. Behavior of a function as you approach a given x-value