The ratio of a model building's dimensions to the building's actual dimensions is 1/52. If the height of the model is 15 inches,
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From the graph of the piecewise function, we have that:
a) The range of the function is (-∞,7).
b) The vertical asymptote is of x = 2, and the horizontal asymptotes are y = -1 and y = -2.
c) The end behavior of the function is described as follows: As x -> -∞, y -> -2 and as x -> ∞, y -> -1.
<h3>What is a piecewise function?</h3>A piecewise function is a function that has different definitions, depending on the input.
For this problem, the definitions of the function are given as follows:
.
The graph of the function is given at the end of the answer.
<h3>What is the range of the function?</h3>The range of the function is the set that contains all the output values of the function, and in a graph, this is the values of y.
Hence:
The range of the function is (-∞,7).
<h3>What are the asymptotes of the function?</h3>The asymptotes of the functions are the values of x for which the function is not defined. In this problem, the function is not defined for x = 2, hence the vertical asymptote is of x = 2.
The horizontal asymptotes are the values of the function when it goes to infinity, hence they are y = -2 and y = -1.
<h3>What is the end behavior of the function?</h3>The end behavior is given by the limits of the function as it goes to infinity, being closely related to the horizontal asympotes.
Hence:
As x -> -∞, y -> -2 and as x -> ∞, y -> -1.
Please ignore the (60,1) point plotted on the graph, it should be (60,-1).
More can be learned about piecewise functions at brainly.com/question/27262465
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