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In this lesson, we will learn how to identify the vertical and horizontal asymptotes of rational functions and use them to find the domain and range of the function.

Q1:

What are the two asymptotes of the hyperbola π¦ = 8 4 π₯ β 3 + 5 3 ?

Q2:

Determine the vertical and horizontal asymptotes of the function π ( π₯ ) = β 1 + 3 π₯ β 4 π₯ 2 .

Q3:

Determine the domain and the range of the function π ( π₯ ) = 1 π₯ β 5 in β .

Q4:

What function is represented in the figure below?

Q5:

Find the domain of the function π ( π₯ ) = π₯ β 3 6 π₯ π₯ + 6 π₯ 3 2 .

Q6:

Q7:

Determine the vertical and horizontal asymptotes of the function π ( π₯ ) = 4 + 2 π₯ β 3 π₯ 2 .

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