Features and transformations of tangent functions practice questions | Mathematical Methods (Year 11, VCE Units 1 & 2, Transformed circular functions, Tangent transformations)

(a)1 mark

Give the period in the form kπ by stating k

coefficient of \(\pi\) in the period

(b)1 mark

Which statement about the vertical asymptotes and maximal domain is correct?

The graph has vertical asymptotes at -π

The graph has vertical asymptotes at x = h + (2m+1)π/(2n) for integer m, and is defined for all other real x

The graph has vertical asymptotes at x = h + (2m+1)π/n for integer m, using the full tangent period between successive asymptotes

(c)1 mark

Complete the ordered list of x-intercept π-coefficients for the domain. There is 1 value to enter

\(x_{1}\)