10-23-2024

Last updated 8 months ago
9 questions
1

hello what is

1




I will be able to simplify a rational expression to graph functions
1

Do Now- Simplify the fraction \frac{6}{12}

1

Do Now- Simplify the fraction \frac{8}{12}

1

Do Now- Simplify the fraction \frac{32}{36}

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 itemCorresponding Item
x-intercept
Let the bottom equal to zero
cx+d=0
This does nothing
Divide the coefficient of the top by the bottom if they are the same power
\frac{a}{c}
y-intercept
Plug in 0
\frac{a\cdot 0+b}{c\cdot0+d}
Vertical Asymptote
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}
Write an equivalent expression for \frac{x^{3}-5x^{2}-24x}{x^{3}+x^{2}-72x}
1

You try-

1

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

1

Graph the function f(x)=\frac{x^{2}+3x-4}{x^{2}+2x-3}