Draw the graph of tan-x and state 3 of it's properties
The graph of y = tan(x) looks like a series of repeating waves that approach vertical asymptotes as x approaches certain values. Three properties of the graph of tan(x) are:
1. Periodicity: The graph of tan(x) repeats every π radians, or 180 degrees. This means that the graph has a period of π.
2. Vertical asymptotes: The graph of tan(x) has vertical asymptotes at x = π/2 + nπ, where n is an integer. This means that the function is undefined at these x-values.
3. Range: The range of tan(x) is all real numbers, as the function oscillates between positive and negative infinity as x approaches certain values.