The function is .
Step 1: Find the zeros.
(Set )
(Add to each side)
(Apply additive inverse property: )
(Take fourth root on each side)
(Simplify)
There is a zero at .
Step 2: Draw the asymptotes.
Find the vertical asymptote.
(Set )
(Add to each side)
(Apply additive inverse property: )
(Square root on each side)
(Simplify)
There is a vertical asymptote at and .
The degree of the numerator is greater than the degree of the denominator.
Thus, there is no horizontal asymptote.
Step 3: Draw the graph:
Make a table of values.
Graph:
Graph the function .
Plot the points obtained in the table.
Graph of the function .
"I want to tell you that our students did well on the math exam and showed a marked improvement that, in my estimation, reflected the professional development the faculty received from you. THANK YOU!!!" June Barnett |
"Your site is amazing! It helped me get through Algebra." Charles |
"My daughter uses it to supplement her Algebra 1 school work. She finds it very helpful." Dan Pease |