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Math  /  Algebra

QuestionGraph functions ff and gg in the same rectangular coordinate system. Graph and give the equation of the asymptote. f(x)=3x and g(x)=−3xf(x)=3^{x} \text { and } g(x)=-3^{x}
Graph functions f and g , and graph any asymptotes as dashed lines. Use the graphing tool to graph the functions.
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Studdy Solution
The graph of f(x)=3xf(x) = 3^x is an **increasing** exponential curve passing through (0,1)(0, 1).
The graph of g(x)=−3xg(x) = -3^x is a **decreasing** exponential curve passing through (0,−1)(0, -1).
Both graphs have the **same** asymptote, which is the horizontal line y=0y = 0.

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