Question

1. target d using the graph, determine the domain and range of the function. use proper notation (either set notation or interval notation) when entering your answer.

Explanation:

Step1: Determine the domain

The domain of a function is the set of all possible x - values for which the function is defined. Looking at the graph, the function extends infinitely to the left and to the right along the x - axis. In interval notation, the set of all real numbers is represented as $(-\infty, \infty)$.

Step2: Determine the range

The range of a function is the set of all possible y - values that the function can take. From the graph, we can see that the function has a minimum and maximum? Wait, no, looking at the graph, the function seems to have a lowest point and a highest point? Wait, actually, from the graph, the function's y - values cover from negative infinity to positive infinity? Wait, no, maybe I misread. Wait, the graph is a curve that goes up and down, but actually, looking at the arrows, the graph extends infinitely in both the positive and negative y - directions? Wait, no, maybe the graph is such that the y - values are all real numbers. Wait, no, let's re - examine. Wait, the graph has arrows on both ends (left and right for x, and top and bottom for y? Wait, the original graph: the blue curve has arrows on the right - most and left - most ends (for x - direction) and also on the top - most and bottom - most ends (for y - direction)? Wait, no, the standard way: if the graph has arrows indicating it goes on forever in the horizontal (x) direction, then domain is all real numbers. For the range, if the graph has arrows indicating it goes on forever in the vertical (y) direction, then range is all real numbers. Wait, but maybe the graph is a function (but wait, does it pass the vertical line test? Wait, the problem says "the function", so it must pass the vertical line test. Wait, maybe the graph is a function where x can be any real number (domain $(-\infty, \infty)$) and y can be any real number (range $(-\infty, \infty)$).

Answer:

Domain: $(-\infty, \infty)$; Range: $(-\infty, \infty)$