4.06 Graphing rational functions
Interactive practice questions
The graph of a rational function is shown below.
Add the vertical asymptotes to the graph:
State the equations of the two vertical asymptotes.
Now add the horizontal asymptote to the graph:
State the equation of the horizontal asymptote.
State the coordinates of the intercepts of this function.
$x$x-intercept: $\left(\editable{},\editable{}\right)$(,)
$y$y-intercept: $\left(\editable{},\editable{}\right)$(,)
A rational function has the equation $y=\frac{9}{\left(x+3\right)^2}$y=9(x+3)2.
A graph of the function is shown below.
A rational function has the equation $y=\frac{x^2}{\left(x-6\right)\left(x+5\right)}$y=x2(x−6)(x+5).
A graph of the function is shown below.
A rational function has the equation $y=\frac{36x^2-16}{\left(3x-4\right)\left(3x+4\right)}$y=36x2−16(3x−4)(3x+4).
A graph of the function is shown below.