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is the function $y = 10x^{10} - 9$ linear or nonlinear? linear nonlinear

Question

is the function $y = 10x^{10} - 9$ 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 exponent of \( x \) is \( 1 \).

Step2: Analyze given function

The function is \( y = 10x^{10}-9 \). Here, the exponent of \( x \) is \( 10 \), which is not \( 1 \). So it does not match the linear function form.

Answer:

nonlinear