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Which equations represent vertical asymptotes of the function shown(select all that apply)

Which equations represent vertical asymptotes of the function shown(select all that-example-1
User Zak Keirn
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1 Answer

16 votes
16 votes

Answer

Options C and E are the correct answers.

The two options that are indeed vertical asymptotes of this function include

Step-by-step explanation

Asymptotes are the points on either the x or the y-axis where the graph of the function doesn't touch.

Taking each of the options one at a time, we will know which of them are actually asymptotes.

Option A

x = π

We can see that a line passes through this point,

At x = π, y = 0

This is not an asymptote for this function.

Option B

x = 0

We can see that a line passes through this point,

At x = 0, y = 0

This is not an asymptote for this function.

Option C

x = (3π/2)

We can see that the lines of the function avoid the vertical line of x = (3π/2)

This is an asymptote for this function.

Option D

x = (π/4)

This lies between x = 0 and x = (π/2)

We can see that a line passes through this point,

At x = (π/4), y = -0.5

This is not an asymptote for this function.

Option E

x = (π/2)

We can see that the lines of the function avoid the vertical line of x = (π/2)

This is also an asymptote for this function.

Hope this Helps!!!

User Eatdoku
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3.2k points