Answer the questions about the following function.
f(x) = 18x^2 / (x^4 + 81)
(a) Is the point (-3,1) on the graph of f?
(b) If x = 1, what is f(x)? What point is on the graph of f?
(c) If f(x) = 1, what is x? What point(s) are on the graph of f?
(d) What is the domain of f?
(e) List the x-intercept(s), if any, of the graph of f.
(f) List the y-intercept, if any, of the graph of f.
(a) Is the point (-3,1) on the graph of f?
Yes
No
(b) If x = 1, what is f(x)?
f(1) =
(Type an integer or a simplified fraction.)
Use this information to list a point on the graph of f.
(Simplify your answer. Type an ordered pair, using integers or fractions.)
(c) If f(x) = 1, what is x?
x =
(Simplify your answer. Type an exact answer, using radicals as needed. Use a comma to separate answers as needed.)
Use this information to list two points on the graph of f.
(Simplify your answer. Type an ordered pair. Type an exact answer, using radicals as needed. Use a comma to separate answers as needed.)
(d) What is the domain of f?