Question
Write the function ruie for the function shown below reflected in the given axis. \( f(x)=-7 x, x \)-axis Let \( g(x) \) be the reflection of \( f(x) \) in the \( x \)-axis. What is the function rule for \( g(x) \) ? \( g(x)=\square \)
Ask by Simmons Kelly. in the United States
Mar 11,2025
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Answer
\( g(x) = 7x \)
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Mind Expander
To reflect a function across the x-axis, you simply negate the entire function. For the function \( f(x) = -7x \), reflecting it will involve changing the sign of \( f(x) \). Thus, the function \( g(x) \) becomes \( g(x) = 7x \). So the function rule for \( g(x) \) is: \( g(x) = 7x \)