Constructing a graph: Draw a continuous function f that has the following characteristics, then state the zeroes and the location of all maximum and minimum values. [Hint: Write them as (c, f(c)).]
a. Domain: x ∈ (−10, ∞)
Range: y ∈ (− 6, ∞)
b. f(0) = 0; f(4) = 0
c. f(x)↑ for x ∈ (−10, −6) ∪ (−2, 2) ∪ (4, ∞)
f(x) ↓ for x ∈ (−6, −2) ∪ (2, 4)
d. f(x) ≥ 0 for x ∈ [−8, −4] ∪ [0, ∞)
f(x) < 0 for x ∈ (−∞, −8) ∪ (−4, 0)
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