Trigonometric Graphs

Consider the graph below.

Loading Graph...

a

What is the equation of the asymptote shown?

b

Which key feature occurs at the point where $x=\frac{\pi}{2}$`x`=π2?

A point of inflection.

A

An asymptote.

B

A local minimum.

C

A local maximum.

D

A point of inflection.

A

An asymptote.

B

A local minimum.

C

A local maximum.

D

c

What is the period of this function?

d

Write down the equation of this function in the form $y=a\sec\left(bx\right)$`y`=`a``s``e``c`(`b``x`), $y=a\csc\left(bx\right)$`y`=`a``c``s``c`(`b``x`) or $y=a\cot\left(bx\right)$`y`=`a``c``o``t`(`b``x`).

Easy

Approx 3 minutes

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Display and interpret the graphs of functions with the graphs of their inverse and/or reciprocal functions