Question
Functions Practice
Complete this assessment to review what you've learned. It will not count toward your grade.
4 of 54 of 5 Items
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 point)
Complete this assessment to review what you've learned. It will not count toward your grade.
4 of 54 of 5 Items
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 point)
Answers
GPT-4o mini
To determine if the function \( y = x^5 - 13 \) (where \( x \neq 0 \)) is linear or nonlinear, we need to look at the highest power of \( x \) in the expression.
A linear function can be expressed in the form \( y = mx + b \) where \( m \) and \( b \) are constants, and the highest power of \( x \) is 1.
In the function given, the highest power of \( x \) is 5 (from \( x^5 \)). Since this is greater than 1, the function is not linear.
Thus, you should enter **2** for nonlinear.
A linear function can be expressed in the form \( y = mx + b \) where \( m \) and \( b \) are constants, and the highest power of \( x \) is 1.
In the function given, the highest power of \( x \) is 5 (from \( x^5 \)). Since this is greater than 1, the function is not linear.
Thus, you should enter **2** for nonlinear.