The reasonable domain and range values for this function will be [0,6] and [0,54] respectively.
What is the domain and range of a function?
Domain is the set of values for which the given function is defined and Range is the set of all values which the given function can output'.
The given function is;f(x) = 1.5x^2
The side lengths are x in., 2x in., and 0.5x in.
The longest side length of the box can be no greater than 12.
The domain is shown as;
0<x≤b
According to the graph;
When x=0, f(0)= 1.5 ×(0)²=0
x= 6, f(6)= 1.5 ×6²=54
The range is ;
F(x)∈[0,59]
Hence, the reasonable domain and range values for this function will be [0,6] and [0,54] respectively.
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