Question

1. Answer the questions about the following function.

f(x) = x + 11 / x - 9

(a) Is the point (4, - 17 /3) on the graph of f?

A. Yes, because substituting x = - 17 / 3 into the given equation results in 4.

B. Yes, because substituting x = 4 into the given equation results in - 17 / 3.

C. No, because substituting x = 4 into the given equation does not result in - 17 / 3.

D. No, because substituting x = - 17 / 3 into the given equation does not result in 4.

(b) If x = 2, f(x) = ___.

(Simplify your answer.)

Using the information in the previous step, list the point(s) on the graph of f, where x = 2.

___.

(Simplify your answer. Type an ordered pair.)

(c) If f(x) = 2, x = ___.

(Simplify your answer. Use a comma to separate answers as needed.)

Using the information in the previous step, list the point(s) on the graph of f, where f(x) = 2.

___.

(Simplify your answer. Type an ordered pair. Use a comma to separate answers as needed.)

(d) What is the domain of f?

The domain is ___.

(Type your answer in interval notation.)

(e) List the x-intercept(s), if any, of the graph of f. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

A. The y-intercept(s) is/are ___.

(Type an integer or a simplified fraction. Use a comma to separate answers as needed)

B. There is no y-intercept.

Answer 1