Find the x - and y-intercepts of the cubic function f (x) = (x+4) (2x-1) (x-1)

Step-by-step explanation:

To find the X-intercept, first substitute 0 for x, and then you solve for x. That will give you x=-4, x=1/2, and x=1. To find the Y intercepts, substitute x for 0. Then, remove the zeroes, and multiply. That leaves you with 4 x - 1 x - 1, which simplifies to be y=4.

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Answer:

the x-intercepts : - 4, 1/2 and 1the y-intercept : 4

Step-by-step explanation:

f (0) = ((0) + 4) (2 (0) - 1) ((0) - 1)

= (4) * (-1) * (-1)

= 4

then the y-intercept = 4

f (x) = 0 ⇔ (x+4) (2x-1) (x-1) = 0 ⇔ x = - 4 or x = 1/2 or x = 1

then the x-intercepts are - 4, 1/2 and 1