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