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is the function $y = -3x^2 - 3x - 1$ linear or nonlinear? linear nonlin…

Question

is the function $y = -3x^2 - 3x - 1$ linear or nonlinear? linear nonlinear

Explanation:

Step1: Recall linear function form

A linear function has the form \( y = mx + b \), where \( m \) and \( b \) are constants, and the highest power of \( x \) is 1.

Step2: Analyze the given function

The function \( y = -3x^2 - 3x - 1 \) has a term \( -3x^2 \), where the power of \( x \) is 2. Since the highest power of \( x \) is not 1, it does not match the linear function form.

Answer:

nonlinear