Question

What is the y-coordinate of the y-intercept of the polynomial function defined below f(x) = -2x (x-1)(3x-6)(x-2)?

a) 0
b) -12
c) 24
d) -48

Answer 1

The y-coordinate of the y-intercept of the given polynomial function is 0, which is obtained by evaluating the function at x = 0.

Step-by-step explanation:

To find the y-coordinate of the y-intercept of the polynomial function f(x) = -2x(x-1)(3x-6)(x-2), we need to evaluate the function when x = 0. This is because the y-intercept of any graph is the point where the function crosses the y-axis, and this occurs when x = 0.

Plugging x = 0 into the function:

f(0) = -2(0)(0-1)(3×0-6)(0-2)

f(0) = 0

The y-coordinate of the y-intercept is therefore 0, which is option a).