Question

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

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.