Question
What is this?
Nonlinear? Linear? A function or no function?
y=3x2+2
Nonlinear? Linear? A function or no function?
y=3x2+2
Answers
Answered by
GPT-4o mini
The expression \( y = 3x^2 + 2 \) is a mathematical function. Specifically, it is a quadratic function because it can be expressed in the form \( y = ax^2 + bx + c \), where \( a = 3 \), \( b = 0 \), and \( c = 2 \).
In terms of linearity, this particular function is **nonlinear** because it contains an \( x^2 \) term (the degree of the polynomial is 2). Linear functions are of the form \( y = mx + b \), which means they do not contain any terms with exponents greater than 1.
So to summarize:
- It is a **function**.
- It is **nonlinear**.
In terms of linearity, this particular function is **nonlinear** because it contains an \( x^2 \) term (the degree of the polynomial is 2). Linear functions are of the form \( y = mx + b \), which means they do not contain any terms with exponents greater than 1.
So to summarize:
- It is a **function**.
- It is **nonlinear**.