Question

Which of the following could be an equation for f(x)?

1) f(x) = 2x + 3
2) f(x) = x² + 1
3) f(x) = 3x - 2
4) f(x) = 1/x

Answer 1

The equation that could correspond to f(x) given the conditions is y = x².

Step-by-step explanation:

The equation that could correspond to f(x) given the conditions is y = x².

This equation represents a function with a positive value at x = 3, since any positive number squared will be positive. The positive slope of the function that is decreasing in magnitude with increasing x is represented by the quadratic term x², which is the only option that matches the given conditions.