Problem 56 of 7
Determine whether g(x)=f(-x)=(-x)^4 reflects parent function f(x)=x^4 across the y-axis.
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interpret f(-x).
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Prompt must compare f(x) to f(-x).
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Solution
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1. Replace x with -x in the parent function.
2. Compare the result to the original function.
3. State whether this creates a y-axis reflection or no visible change.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Claiming every f(-x) creates a new visible graph for even functions.