Question

determine the intervals where the function is increasing and decreasing. submit your solution in interval notation.
increasing intervals:
decreasing intervals:

Explanation:

Step1: Analyze the line's slope

The line has a negative slope, meaning as $x$ increases, $y$ decreases.

Step2: Identify increasing intervals

A function is increasing when $y$ rises with $x$. This line never rises, so there are no increasing intervals.

Step3: Identify decreasing intervals

A function is decreasing when $y$ falls with $x$. This line falls across all real $x$-values.

Answer:

Increasing intervals: $\emptyset$
Decreasing intervals: $(-\infty, \infty)$