Question

which of the following is the domain in interval notation of the function graphed below? last saved 10:43:56 pm questions filter (11)

Explanation:

Step1: Identify the leftmost point

The leftmost point of the graph has an x - coordinate of - 4 (open circle, so - 4 is not included, but the domain starts from values greater than - 4? Wait, no, looking at the graph, the leftmost point is at x=-4 (open circle) and then the graph extends to the right. Wait, actually, the left - hand boundary of the domain: the graph starts at an open circle at x = - 4 (so x > - 4? No, wait, the open circle at x=-4, and then the graph goes to the right. Wait, no, let's check the x - axis. The open circle is at x=-4 (since the grid: from - 9 to 9 on x - axis, the open circle is at x=-4 (the x - coordinate of the open circle is - 4). Then the graph extends to the right, so the domain is all real numbers greater than - 4? Wait, no, wait the graph: the blue line starts at an open circle at x=-4 (so x > - 4) and goes to the right, so the domain in interval notation is (-4, ∞). Wait, let's confirm: domain is the set of all x - values for which the function is defined. The leftmost point is an open circle at x=-4, meaning x=-4 is not included, and then the graph goes to the right (towards positive infinity), so the domain is x > - 4, which in interval notation is (-4, ∞).

Step2: Write the interval notation

Interval notation for values greater than - 4 (not including - 4) and going to infinity is written as (-4, ∞).

Answer:

\((-4, \infty)\)