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CAN SOMEBODY HELP ME PLEASE

CAN SOMEBODY HELP ME PLEASE-example-1

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13 votes

Answer:

g intercepts: 48

n intercepts: 6, -4, 2

Explanation:
Part 1:

To find the g intercepts, set n to 0 everywhere.

You then get:

g(0) = (-6)*(4)*(-2)

g(0) = 48

Part 2:

To find the n intercepts, set g to 0.

You then get:

(n-6) * (n+4) * (n-2) = 0

Solve for n in each part seperately to find all intercepts:

n-6 = 0 -> n = 6

n+4 = 0 -> n = -4

n-2 = 0 -> n = 2

User Jeyekomon
by
8.1k points
7 votes

Answer:

  • g-intercept: (0, 48)
  • n-intercepts: (6, 0), (-4, 0), (2, 0)

Explanation:

The g-intercept is the point where the function graph crosses the vertical axis. The value there is g(0). It is found by evaluating the function when n=0.

g(0) = (0 -6)(0 +4)(0 -2) = (-6)(4)(-2) = 48

The g-intercept is (0, 48).

__

The n-intercepts are the points where the function graph crosses the horizontal axis. These are the values of n that make g(n) = 0. For each of the binomial factors, that value of n will be the value that makes the factor 0:

n -6 = 0 ⇒ n = 6

n +4 = 0 ⇒ n = -4

n -2 = 0 ⇒ n = 2

The n-intercepts are (6, 0), (-4, 0), and (2, 0).

User HazemGomaa
by
8.4k points

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