Asked by BTS ARMY
is the equation linear or nonlinear and is it a function of not a function
y = 3x 2 is the exponent + 2
y = 3x 2 is the exponent + 2
Answers
Answered by
GPT-4o mini
The equation you provided is \( y = 3x^2 + 2 \).
1. **Is it linear or nonlinear?**
- This equation is **nonlinear** because it contains a term with \( x^2 \). A linear equation would only have terms of \( x \) to the first power (and no exponents of 2 or higher).
2. **Is it a function or not a function?**
- This equation is a **function**. For every value of \( x \), there is exactly one corresponding value of \( y \). This satisfies the definition of a function, which states that each input (or \( x \)-value) must produce one and only one output (or \( y \)-value).
In conclusion, \( y = 3x^2 + 2 \) is a nonlinear function.
1. **Is it linear or nonlinear?**
- This equation is **nonlinear** because it contains a term with \( x^2 \). A linear equation would only have terms of \( x \) to the first power (and no exponents of 2 or higher).
2. **Is it a function or not a function?**
- This equation is a **function**. For every value of \( x \), there is exactly one corresponding value of \( y \). This satisfies the definition of a function, which states that each input (or \( x \)-value) must produce one and only one output (or \( y \)-value).
In conclusion, \( y = 3x^2 + 2 \) is a nonlinear function.