Domain/Range

Quick review on how to solve inequalities (for domain)

When you evaluate the domain of a function, we are finding all of the possible x values that give us an output. For example if a value of x makes the denominator equal to zero, that value of x will not be in the domain. Similarly if a value of x makes the expression under a radical negative, it will not be in the domain. That is, the expression under the radical must be greater than or equal to 0. Here is a quick youtube video to remind you how to solve inequalities.

Limits

Extrema

Here is a great source for how to find local maxima and minima values using the second derivative test.

https://www.mathsisfun.com/calculus/maxima-minima.html 

Here is an additional source for determining concavity.

https://www.mathsisfun.com/calculus/concave-up-down-convex.html 

Optimization

Anti-derivatives

Helpful Resources