AB Sem 1

Front

How do you find the limit?

Back

It is based upon degree.

If the DoN < DoD, then the limit is approaching 0 (because the Horiz Asymptote is y = 0)

If the DoN = DoD, then the limit is approaching the LC/LC (because the Horiz Asymptote is y = LC/LC)

If the DoN > DoD, then you must think about the End Behavior Model (Leading term)/(Leading term)

What is the limit of the End Behavior Model? That is the answer. (Either infinity or negative infinity because it is a slant asymptote.)

Front

If you find a limit and get a #/0, what do you know?

Back

There exists a Vertical asymptote. So, you know that the limit is approaching infinity, negative infinity or DNE. If the limit is approaching c from 1-side, take a value close to c and substitute into the function. If you get a positive value, the limit is approaching a positive infinity. If negative value, the limit is approaching a negative infinity.

Front

The limit of a constant is a ...

Back

constant.

Front

The derivative of a constant is ...

Back

zero.

Front

How do you find the limit of a piecewise function?

Back

Find the 1-sided limit of each piece where the pieces meet at x = c.

Front

What is the continuity test?

Back

Front

What is the Squeeze Theorem?

Back

Front

Back

Front

What is the Intermediate Value Theorem?

Back

A function that is continuous on a closed interval [a, b] takes on every value between f(a) and f(b). In other words, if f(w) is between f(a) and f(b), then w is within  [a, b].

Front

What is the average rate of change?

Back

• * Slope of the secant line

• * Approximation of the derivative