Question
In the linear function f(x) = - x + 1 , is the function increasing, decreasing or constant?
Answers
GPT-4o mini
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.
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.