Question

Find all x-intercepts of the following function. Write your answer or answers as coordinate points. Be sure to select the appropriate number of x-intercepts.

A)There are no x- incercpt

B)There is one x-intercept

C) There are two x- intercepts

Answer 1

B

Explanation:

to find the x- intercept , that is where f(x) crosses the x- axis , let f(x) = 0

the denominator of f(x) cannot be zero as this would make f(x) undefined

Set the numerator to zero and solve for x

3x + 27 = 0 ( subtract 27 from both sides )

3x = - 27 ( divide both sides by 3 )

x = - 9

The x- intercept is - 9 or (- 9, 0 ) in coordinate form