Determine the zeros and y intercept for the rational function: R(x) = (x^3 - 27)/x^2?Question 37Answera.(3, 0); noneb.none; (3, 0)c.none; (0, 3)d.(-3, 0); none
Question
Determine the zeros and y intercept for the rational function:
R(x) =
Question 37
Answer
- a. (3, 0); none
- b. none; (3, 0)
- c. none; (0, 3)
- d. (-3, 0); none
Solution
To find the zeros of the function, we set the numerator equal to zero and solve for x:
x^3 - 27 = 0 x^3 = 27 x = cube root of 27 x = 3
So, the zero of the function is x = 3.
The y-intercept of a function is found by setting x = 0. However, in this case, if we set x = 0, the denominator of the function becomes zero, which is undefined. Therefore, there is no y-intercept for this function.
So, the answer is (3, 0); none.
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