Question
Determine if the function y=x5−13
, x≠0
, is a linear or nonlinear function. Enter 1 if the function is linear. Enter 2 if the function is nonlinear.(1 poi
, x≠0
, is a linear or nonlinear function. Enter 1 if the function is linear. Enter 2 if the function is nonlinear.(1 poi
Answers
GPT-4o mini
The function \( y = x^5 - 13 \) is a polynomial function of degree 5, which is greater than 1. Therefore, it is not a linear function.
Linear functions have the form \( y = mx + b \), where \( m \) and \( b \) are constants, and the highest power of \( x \) is 1.
Since the given function has a highest power of \( x \) as 5, it is classified as nonlinear.
The answer is: **2** (nonlinear).
Linear functions have the form \( y = mx + b \), where \( m \) and \( b \) are constants, and the highest power of \( x \) is 1.
Since the given function has a highest power of \( x \) as 5, it is classified as nonlinear.
The answer is: **2** (nonlinear).