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

The following question is about the rational functionr(x) = (x + 1)(x − 3)(x + 3)(x − 7).The function r has y-intercept

Use the graph to estimate any x-intercepts of the rational function. Set y = 0 and solve the resulting equation to confirm your result. (If an answer does not exist, enter DNE.)y = 3xx − 2

3) 27x ^ 3 - 9x ^ 2 - x + 3 = 0 if x = 1/3

To find the intercepts of the function f(x) = (x-3)/(x^2 + 2x -3), we need to find the x-intercept and the y-intercept. 1. X-intercept: The x-intercept is the value of x when f(x) = 0. So, we set the function equal to zero and solve for x. 0 = (x-3)/(x^2 + 2x -3) This implies that the numerator of the fraction must be zero (since zero times anything is zero). So, we set x - 3 = 0 and solve for x. x - 3 = 0 x = 3 So, the x-intercept is 3. 2. Y-intercept: The y-intercept is the value of f(x) when x = 0. So, we substitute x = 0 into the function and solve for f(x). f(0) = (0-3)/(0^2 + 2*0 -3) = -3/-3 = 1 So, the y-intercept is 1. Therefore, the intercepts of the function are x = 3 and y = 1. Context: this is mcq a) (2,0) b) (3,0) C) (1,0)

Find the indicated intercept(s) of the graph of the function. f(x) = (x-3)/(x^2 + 2x -3)