Question

If X1 < x2 and f is a decreasing function, then f(x1) > f(x2).
a) True
b) False

Answer 1

True. If X1 < x2 and f is a decreasing function, f(x1) > f(x2) because as x2 increases, f(x2) decreases.

Step-by-step explanation:

True. If X1 < x2 and f is a decreasing function, it means that as the values of x increase, the values of f decrease. So, when X1 < x2, it implies that the value of x2 is greater than x1. Since f is a decreasing function, it follows that f(x1) must be greater than f(x2) because as x2 increases, f(x2) decreases.