When the argument of the secant function is changed from to

MATHEMATICS · Single correct · A Level · Mathematics · Trigonometry · Trigonometry

Problem

When the argument of the secant function is changed from

x

2x+\pi

, what happens to the set of

x

-values where the function is undefined? (a) They are compressed horizontally by a factor of

\tfrac12

and shifted

\tfrac{\pi}{4}

units to the left. (b) They are compressed horizontally by a factor of

\tfrac12

with no horizontal shift. (c) They are compressed horizontally by a factor of

\tfrac12

and shifted

\tfrac{\pi}{2}

units to the left. (d) They are stretched horizontally by a factor of

2

and shifted

\tfrac{\pi}{4}

units to the right.