is the equation linear or nonlinear and is it a function of not a function

Question

y = 3x 2 is the exponent + 2

Answer 1

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.