G is a trigonometric function of the form g(x)=acos(bx+c)+d
1 answer:
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Answer:
- a = 0.5
- b = π/4.5
- c = 7π/9
- d = -4.5
Step-by-step explanation:
The value of d is the average of the maximum and the minimum.
d = (-4 +-5)/2 = -9/2 = -4.5
The value of 'a' is the difference between the maximum and d.
a = -4 -(-4.5) = 0.5
The value of b is 2π divided by the period. Here, the half-period is 3.5 -(-1) = 4.5, so ...
b = 2π/9 = π/4.5
The value of c is the value that makes the cosine argument zero at x=3.5.
(π/4.5)(3.5) +c = 0
c = -7π/9
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