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).
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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).