174k views
0 votes
Is the function y = x⁵ linear or nonlinear?

a. Linear
b. Nonlinear
c. Depends on the value of x
d. Insufficient information

1 Answer

0 votes

Final answer:

The function y = x⁵ is nonlinear because it does not follow the form of a linear equation and its graph will be a curve, not a straight line.

Step-by-step explanation:

The function y = x⁵ is a nonlinear function. According to the definition of linear equations, which are of the form y = a + bx, where a is the y-intercept and b is the slope, a linear equation graphs as a straight line. In contrast, the function y = x⁵ has an exponent on the x term which is higher than 1, indicating that the graph of this function will not be a straight line but a curve that changes slope as x changes, which is characteristic of nonlinear functions.

User Emerino
by
8.2k points

Related questions

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories