Hobbs Ingram
06/30/2024 · Elementary School
Determine whether the following \( f(x)=-3 x^{2}+\frac{2}{x^{2}}+2 x \) is even, odd, or neither. Even Neither Odd
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
Analyze the function \( f(x)=-3x^{2}+\frac{2}{x^{2}}+2x \) for even or odd.
Function by following steps:
- step0: Determine if even, odd or neither:
\(f\left(x\right)=-3x^{2}+\frac{2}{x^{2}}+2x\)
- step1: Use substitution:
\(f\left(-x\right)=-3\left(-x\right)^{2}+\frac{2}{\left(-x\right)^{2}}+2\left(-x\right)\)
- step2: Simplify:
\(f\left(-x\right)=-3x^{2}+\frac{2}{x^{2}}-2x\)
- step3: The function is neither even nor odd:
\(\textrm{Neither even nor odd}\)
The function \( f(x)=-3x^{2}+\frac{2}{x^{2}}+2x \) is neither even nor odd.
Quick Answer
The function is neither even nor odd.
Answered by UpStudy AI and reviewed by a Professional Tutor
UpStudy ThothAI
Self-Developed and Ever-Improving
Thoth AI product is constantly being upgraded and optimized.
Covers All Major Subjects
Capable of handling homework in math, chemistry, biology, physics, and more.
Instant and Accurate
Provides immediate and precise solutions and guidance.
Try Now
Ask Tutors
Ask AI
10x
Fastest way to Get Answers & Solutions
By text
Enter your question here…
By image
Re-Upload
Submit