this is the graph of a linear function. what is the range of the function? write your answer as an equation…

this is the graph of a linear function. what is the range of the function? write your answer as an equation like x = 5, as an inequality like y > 3, or as a compound inequality like 2 ≤ x < 4.

this is the graph of a linear function. what is the range of the function? write your answer as an equation like x = 5, as an inequality like y > 3, or as a compound inequality like 2 ≤ x < 4.

Answer

Explanation:

Step1: Identify the lowest and highest y - values

The line extends infinitely in both directions vertically. The lowest visible y - value on the graph is not a limiting value as the line goes downwards infinitely. The highest visible y - value is also not a limiting value as the line goes upwards infinitely.

Step2: Write the range

Since the linear function extends infinitely in the vertical direction, the range includes all real numbers.

Answer:

$y\in(-\infty,\infty)$