WorksheetsQUIZ Rational Function
Total questions: 15
Worksheet time: 21mins
Find the horizontal asymptote.
y = -2
none
x = 1/2
y = 1/2
What are the asymptotes?
x = -2 and y = -1
x = 1 and y = -2
x = 2 and y = 1
x = 1 and y = 2
To find x-intercept(s) in a rational function you...
Set the numerator equal to 0 in the original function.
Set the denominator equal to 0 in the original function.
Set the numerator equal to 0 in the simplified function.
Set the denominator equal to 0 in the simplified function.
f(x)=x2−43x−6 has a y-intercept at:
(0,3)
(0,23)
(2,0)
There are no y-intercepts.
(0,0)
Graph the function.
f(x)=x−4−x+1
What are the asymptotes?
x = -3 y = 1
x = 3 y = 1
x = -1 y = 3
x = 1 y = -3
What is the VERTICAL asymptote of this function? (click on the graph to enlarge)
x=1
x=-3
y=1
y= -3
Select the graph that show the corresponding vertical & horizontal asymptotes to this function
Select the graph that show the corresponding vertical & horizontal asymptotes to this function
When finding the Vertical asymptotes of a function, you should be thinking...
"Set Bottom = to Zero"
"Top = 0"
"f(0)"
"Look at the Degree of the top and bottom..."
When finding the x intercept of a function, you should be thinking...
"Set Bottom = to Zero"
"Top = 0"
"f(0)"
"Look at the Degree of the top and bottom..."
When finding the y intercept of a function, you should be thinking...
"Set Bottom = to Zero"
"Top = 0"
"f(0)" or change x to 0
"Look at the Degree of the top and bottom..."
What is the domain?
x ≠ 3, x ≠ -1
∀R| x ≠ 3, x ≠ -1
x = 3, x = -1
∀R| x = 3, x = -1
