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Describe how the graphs of f(x) and g(x) are related. f(x)=1xf(x)=\frac{1}{x} and g(x)=3xg(x)=\frac{3}{x}

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Answered 2 years ago
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We can see that f(x)=1xf(x)=\frac{1}{x} is the parent function\textbf{parent function} of g(x)=3xg(x)=\frac{3}{x}.

Since 3f(x)=g(x)3\cdot f(x)=g(x), g(x)g(x) has a slope\textbf{slope} 33 times as steep compared to f(x)f(x).

The function in red is f(x)f(x), and the one in blue is g(x)g(x) - used graphing utility\textit{graphing utility} Desmos\textbf{Desmos}.

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