In the linear function f(x) = - x + 1 , is the function increasing, decreasing or constant?

Question

GPT-4o mini · Answer

In the linear function $ f(x) = -x + 1 $, the coefficient of $ x $ is $-1$. A linear function is classified based on the sign of its slope (the coefficient of $ x $). If the slope is positive, the function is increasing; if it is negative, the function is decreasing; and if it is zero, the function is constant. Since the slope here is $-1$ (which is negative), the function $ f(x) = -x + 1 $ is decreasing.