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y = x³ + 4; is this function linear or nonlinear?; linear function; non…

Question

y = x³ + 4; is this function linear or nonlinear?; linear function; nonlinear function

Explanation:

Step1: Recall linear function form

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

Step2: Analyze given function

The function is \( y = x^3 + 4 \). Here, the exponent of \( x \) is 3, which is not 1. So it doesn't match the linear function form.

Answer:

Nonlinear function