QUESTION IMAGE
Question
x ∈ (-∞, ∞)
x ∈ (-∞, 5
y ∈ (-∞, 5
y ∈ (-∞, ∞)
Step1: Analyze domain and range concepts
Domain is set of all x - values and range is set of all y - values of a function.
Step2: Observe the graph
If the graph has no vertical asymptotes or breaks in x - direction, x can take all real values. But if it has a maximum or minimum in y - direction, range is restricted. From the appearance of the graph (assuming it's a parabola opening downwards), it seems to have a maximum value for y. So the range of y values is from negative infinity to some maximum value. Here it seems the maximum y - value is 5 (from the options).
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y ∈ (-∞, 5]