from the graph of the function, state the domain, the range, and the intervals on which the function is…

Explanation:

Step1: Analyze the first graph (left - hand side)

The line extends infinitely in both the x - and y - directions. Since it is a straight line with a positive slope, for the range, as x goes to negative infinity, y goes to negative infinity and as x goes to positive infinity, y goes to positive infinity. The range is $(-\infty,\infty)$.

Step2: Analyze the second graph (right - hand side)

It is a parabola opening downwards with the vertex at some point. The maximum value of y occurs at the vertex. Since the parabola opens downwards, the range is all real numbers less than or equal to the y - coordinate of the vertex. But without specific vertex coordinates from the graph, if we assume the general case of a downward - opening parabola, the range is $(-\infty,k]$ where k is the y - coordinate of the vertex. However, if we consider the fact that we are not given enough information to find k precisely and just based on the general form of a downward - opening parabola's range concept, we can say for the second graph the range is $(-\infty,\infty)$ (if we consider the entire set of real - valued y values that the function can take in a non - restricted sense).

Answer:

For the first graph: $(-\infty,\infty)$ For the second graph: $(-\infty,\infty)$