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The word linear is used for a straight line. A linear function is a function of a straight line, which means that the degree of a linear function must be ${\displaystyle 0}$ or ${\displaystyle 1}$. In this case, The degree of ${\displaystyle f\left(x\right)={(x^3+5)}^{38}}$ is ${\displaystyle 114}$, which makes the function a nonlinear function.