Problem 124 of 7
Determine whether f(x)=x^3+x^2 is even.
Hints
Using a hint is okay. It just tells the trainer to give you a little more review.
Hidden until you reveal it.
test f(-x)=f(x) or y-axis symmetry.
Hidden until you reveal it.
Function must be testable by f(-x)=f(x) or y-axis symmetry.
Enter your answer
No answer yet
Correct
Your answer is equivalent to the expected form.
Solution
Walkthrough
Walkthrough shown
Full solution stays hidden until you ask for it.
1. Compute or reason about f(-x).
2. Compare f(-x) to f(x).
3. Classify as even only if they match for all x in the domain.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Assuming every quadratic is even.