Question

Match the function with its graph. a. 1C, 2B, 3D, 4A c. 1D, 2A, 3C, 4B b. 1A, 2D, 3B, 4C d. 1A, 2B, 3C, 4D Please select the best answer from the choices provided A B C D (answer is C)

Answer 1

c

Explanation:

Answer 2

The correct answer is "Option C".

Explanation:

Given:

`\bold{ 1) y= -\tan (x- (\pi)/(2))}\\\\\bold{ 2) y= \tan (x+ (\pi)/(2))}\\\\\bold{ 3) y= -\cot (x- (\pi)/(2))}\\\\\bold{ 4) y= \cot (x+ (\pi)/(2))}\\\\`

solve the above equation:

`\Rightarrow 1) \ y= -\tan (x- (\pi)/(2))\\\\\Rightarrow \ y= \tan ((\pi)/(2)-x)\\\\\Rightarrow \ y= \cot x \ \ \ \ \ \bold{ that \ matchs \ graph \ D}\\\\ \Rightarrow 2) \ y= \tan (x+ (\pi)/(2))\\\\\Rightarrow \ y= - \cot x \ \ \ \ \bold{ that \ matchs \ graph \ A}\\\\`

`\Rightarrow 3) \ y= -\cot (x- (\pi)/(2))\\\\\Rightarrow \ y=\cot ( (\pi)/(2)-x)\\\\\Rightarrow \ y=\tan x\ \ \ \ \bold{that \ matchs \ graph \ C}\\\\`

`\Rightarrow 4) \ y= \cot (x+ (\pi)/(2))\\\\\Rightarrow \ y= \cot ((\pi)/(2)+x)\\\\\Rightarrow \ y= \ -tan x \ \ \ \ \ \bold{ that \ matchs \ graph \ A}`

The final answer is "Option C".