10-22-2024

Last updated 11 months ago

3 questions

Objective- I will be able to identify horizonal and vertical asymptotes of rational functions  

1

Last updated 11 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.

Draggable item		Corresponding Item
y-intercept		Let the bottom equal to zero cx+d=0

1

1

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

Vertical Asymptote

Divide the coefficient of the top by the bottom if they are the same power 
\frac{a}{c}

Horizontal Asymptote

Plug in 0
\frac{a\cdot 0+b}{c\cdot0+d}

x-intercept

Set the top equal to zero

ax+b=0

This does nothing

Take the sum of a and c and divide by the sum of b and d
\frac{a+c}{b+d}