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10-22-2024

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Last updated 10 months ago
3 questions
Objective- I will be able to identify horizonal and vertical asymptotes of rational functions
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Question 1
1.

Given a function of f(x)= \frac{ax+b}{cx+d} match how you would solve for the following.

Draggable itemarrow_right_altCorresponding Item
Vertical Asymptote
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Let the bottom equal to zero
cx+d=0
Horizontal Asymptote
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Divide the coefficient of the top by the bottom if they are the same power
\frac{a}{c}
x-intercept
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Plug in 0
\frac{a\cdot 0+b}{c\cdot0+d}
This does nothing
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Set the top equal to zero

ax+b=0
y-intercept
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Take the sum of a and c and divide by the sum of b and d
\frac{a+c}{b+d}
Question 2
2.

Graph the function f(x)=\frac{4x-3}{x+8}

Question 3
3.

Graph the function f(x)=\frac{2x-42}{x^{2}+5x-14}