Category: Algebra

A logarithm change of base is useful in many scenarios when you are working with either exponents or logarithms So, what do you need to know about a logarithm change of base?  The logarithm...

When we work with polynomials, we may want to find the domain and range.  This helps us to graph the function, including any local or absolute extrema (maximums or minimums). So, what is the...

When we work with rational functions, we often want to find the domain and range.  This helps us to graph the function, including any horizontal and vertical asymptotes. So, what is the...

When working with a parabola, you may need to know the possible inputs (domain, or x-values) and outputs (range, or y-values).  This will involve finding the local minimum or maximum (vertex),...

When you work with radicals, you need to know the various parts and how they affect the value of the radical.  For example, the radicand is important, and we also need to understand the...

When we use algebra to solve equations, we can usually trust all of the answers we get.  However, there are some cases where this is not true – that is, when we get extraneous...