Question

Part 1 of 6

The retail flat rate in dollars for first-class mail weighing up to 5 ounces could be computed by the piecewise-constant function f
where x is the number of ounces.
(a) Evaluate f(1.6) and f(5). Interpret your results
(b) Sketch a graph of f. What is the domain of f? What is the range of f?
(a) f(1.6)= (Type an integer or a decimal.)
0.80 if 0 1.02 if 1 f(x)= 1.24 if 2 1.46 if 3 1.68 if 4≤x≤5

Answer 1

The given function represents the retail flat rate for first-class mail based on weight. It is piecewise-constant with different rates for different weight intervals.

Step-by-step explanation:

The given function represents the retail flat rate for first-class mail based on the weight in ounces. To evaluate f(1.6), we need to find the interval in which the value 1.6 lies. Since 0 < 1.6 ≤ 1, the rate is $0.80 for 1.6 ounces. On the other hand, to find f(5), we see that it falls into the interval 4 ≤ 5, so the rate is $1.68.

The graph of the function f would consist of horizontal lines at different height levels corresponding to the different rate intervals. The domain of f is the set of all real numbers with 0 < x <= 5, and the range is the set of values {0.80, 1.02, 1.24, 1.46, 1.68}.

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