Rashida was asked to determine whether f(x)=x2−∣x∣ is even, odd, or neither. Here is her work:Step 1: Find expression for f(−x)f(−x)amp;=(−x)2−∣(−x)∣amp;=x2+∣x∣Step 2: Check if f(−x) is equal to f(x) or −f(x)x2+∣x∣ isn't the same as f(x)=x2−∣x∣ or −f(x)=−x2+∣x∣.Step 3: Conclusionf(−x) isn't equivalent to either f(x) or −f(x), so f is neither even nor odd.Is Rashida's work correct? If not, what is the first step where Rashida made a mistake?Choose 1 answer:(A) Rashida's work is correct.(B) Rashida's work is incorrect. She first made a mistake in Step 1.(C) Rashida's work is incorrect. She first made a mistake in Step 2.(D) Rashida's work is incorrect. She first made a mistake in Step 3.
Q. Rashida was asked to determine whether f(x)=x2−∣x∣ is even, odd, or neither. Here is her work:Step 1: Find expression for f(−x)f(−x)=(−x)2−∣(−x)∣=x2+∣x∣Step 2: Check if f(−x) is equal to f(x) or −f(x)x2+∣x∣ isn't the same as f(x)=x2−∣x∣ or −f(x)=−x2+∣x∣.Step 3: Conclusionf(−x) isn't equivalent to either f(x) or −f(x), so f is neither even nor odd.Is Rashida's work correct? If not, what is the first step where Rashida made a mistake?Choose 1 answer:(A) Rashida's work is correct.(B) Rashida's work is incorrect. She first made a mistake in Step 1.(C) Rashida's work is incorrect. She first made a mistake in Step 2.(D) Rashida's work is incorrect. She first made a mistake in Step 3.
Find expression: Find expression for f(−x)f(−x)=(−x)2−∣(−x)∣Since (−x)2=x2 and ∣(−x)∣=∣x∣, the correct expression should be:f(−x)=x2−∣x∣
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