Constructing a graph: Draw a continuous function g that has the following characteristics, then state the zeroes and the location of all maximum and minimum values. [Hint: Write them as (c, g(c)).]
a. Domain: x ∈ (−∞, 8]
Range: y ∈ [− 6, ∞)
b. g(0) = 4.5; g(6) = 0
c. g(x)↑ for x ∈ (−6, 3) ∪ (6, 8)
g(x)↓ for x ∈ (−∞, −6) ∪ (3, 6)
d. g(x) ≥ 0 for x ∈ (−∞, −9] ∪ [−3, 8]
g(x) < 0 for x ∈ (−9, −3)
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