Draw the function f that has all of the following characteristics, then name the zeroes of the function and the location of all local maximum and minimum values. [Hint: Write them in the form (c, f(c)).]
a. Domain: x ∈ [− 6, 10)
b. Range: y ∈ [−8, 6)
c. f(0) = 0
d. f(x)↓ for x ∈ (−6, −3) ∪ (3, 7.5)
e. f(x)↑ for x ∈ (−3, 3) ∪ (7.5, 10)
f. f(x) < 0 for x ∈ (−6, 0) ∪ (6, 9)
g. f(x) > 0 for x ∈ (0, 6) ∪ (9, 10)
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