Please help me with domain and range of graphs Part 1
1 answer:
Answer:
- see the attached for domain
- Range: (-∞, 4], [3, ∞), [-3, 1]
Step-by-step explanation:
The domain is the horizontal extent of the graph. When the graph has arrows on the end, it extends to infinity in the indicated direction.
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The range is the vertical extent of the graph.
<u>Left Graph</u>
We assume the curve is intended to touch, not cross, the line y=4, so the range is ...
range: (-∞, 4]
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<u>Middle Graph</u>
We assume the graph continues along the line y=3 to the right indefinitely. Then this value is the minimum of the range.
range: [3, ∞)
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<u>Right Graph</u>
The low point on the graph is at y=-3, and it looks like the graph continues to the right along the line y=1. Then the range is ...
range: [-3, 1]
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ANSWER
-2 shift the graph of the basic function down by 2 units.
EXPLANATION
The given cosine function is:
This equation can be rewritten as:
We compare this to
The effect d has on the graph is that, it shifts the graph up by d units.
If d is negative the graph shifts down by d units.
Since d=-2, the graph will shift down by 2 units.