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graph the function compare the graph g(x)=-3|x| to graph f(x)=|x| describe the domain and range.

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altavistard

Answer:

Step-by-step explanation:

The basic (parent) graph is that of f(x)=|x|, whose vertex is at (0, 0).  The graph opens up.

The graph of f(x)=-3|x| has the same basic shape, but differs from that of f(x)=|x| as follows:

1) The graph opens down instead of up.

2) The graph is stretched vertically:  f(1)=|1| = 1 versus g(1)= -3|1| when the graphs are compared for x = 1.

Domain and Range:  The domain of f(x)=|x| is "all real numbers."  The range is "all real numbers equal to or greater than 0."

The domain of g(x)= -3|x| is "all real numbers."  The range is "all real numbers smaller than 0," or (-infinity, 0).

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