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10-22-2024
By Pedro Ramirez Maldonado
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Last updated about 1 year ago
3 questions
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Objective- I will be able to identify horizonal and vertical asymptotes of rational functions
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Question 2
2.
Graph the function f(x)=\frac{4x-3}{x+8}
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Question 3
3.
Graph the function f(x)=\frac{2x-42}{x^{2}+5x-14}
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Question 1
1.
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Given a function of f(x)= \frac{ax+b}{cx+d} match how you would solve for the following.
This does nothing
Let the bottom equal to zero
cx+d=0
x-intercept
Divide the coefficient of the top by the bottom if they are the same power
\frac{a}{c}
Vertical Asymptote
Plug in 0
\frac{a\cdot 0+b}{c\cdot0+d}
y-intercept
Set the top equal to zero
ax+b=0
Horizontal Asymptote
Take the sum of a and c and divide by the sum of b and d
\frac{a+c}{b+d}