Question

this is the graph of a linear function. what are the domain and the range of the function? domain: range: x < 8 x ≤ 8 x > 8 x ≥ 8 x = 8

Explanation:

Step1: Recall domain and range definitions

Domain is set of all x - values, range is set of all y - values.

Step2: Analyze the graph

The line is a horizontal line at y = 8. It extends infinitely in both x - directions.

Step3: Determine the domain

Since the line extends infinitely left and right, the domain is all real numbers, which can be written as $-\infty

Step4: Determine the range

The line is a horizontal line at y = 8, so the only y - value for the function is 8. The range is $y = 8$.

Answer:

Domain: All real numbers (not given in options but conceptually correct; if we assume the line is just shown in a limited x - view and based on the nature of a horizontal line, x can be any real number). If we must choose from the options, there is an error as none of them represent all real numbers.
Range: $y = 8$