sketch the graph of a function that is everywhere decreasing. choose the correct graph below.

Explanation:

Step1: Recall decreasing - function property

A function (y = f(x)) is decreasing if for (x_1<x_2), then (f(x_1)>f(x_2)). Its graph has a negative - slope.

Step2: Analyze each option

Option A: The line has a negative slope. As (x) increases from left - to - right, (y) decreases. Option B: The line is horizontal, so (y) does not change as (x) changes, and the function is constant. Option C: The graph has both increasing and decreasing parts. Option D: The graph is increasing as (x) increases, (y) also increases.

Answer:

A.