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Shkiper50 [21]
3 years ago
14

F(x) = (2x + 1)(x - 2)(x + 3)

Mathematics
1 answer:
lora16 [44]3 years ago
7 0

Answer:

f(3) = 42.

Y-intercept is (0, -6).

X-intercepts  are (-0.5, 0),  ( 2, 0) and (-3, 0).

Step-by-step explanation:

f(3) = (2(3) + 1)(3 - 2)(3 + 3)

= 7 * 1 * 6

= 42.

The y intercept occurs when x = 0:

y-intercept = (2(0) + 1)(0 - 2)(0 + 3)

= 1 *-2*3

= -6.

Calculate the x-intercepts:

(2x + 1)(x - 2)(x + 3) = 0  so

(2x + 1) = 0 or  (x - 2) = 0   or   (x + 3) = 0

So x = -0.5,  2 or  -3.

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