Question

Y=tanx Can you please give a graph use color for function, asymptotes, etc.A short table of easy pointsThe domain and rangePlease identify and label the asymptotes (Please work this as if you didn’t have a calculator)

Answer 1

For y = tan(x), we can complete the following table, so

x y = tan(x)

0 tan(0) = 0

π/4 tan(π/4) = 1

π/2 tan(π/2) = undefined

Therefore, a graph for this function is

Where the function is the blue lines and the asymptotes are the yellow lines.

Therefore, the asymptotes are x = -π/2, π/2, 3π/2,...

Finally, the domain is the set of values that the variable x can take. In this case, the domain is all the numbers except the values like -π/2, π/2, 3π/2,...

The range is the set of values that the variable y can take, so, the range is the set of all real numbers.