The graph of an absolute value function opens down and has a vertex of (0, -3).The domain of the function is .The range of the function is .
Question
The graph of an absolute value function opens down and has a vertex of (0, -3).The domain of the function is .The range of the function is .
Solution 1
To determine the domain of the absolute value function, we need to consider all possible input values. Since the graph opens down and has a vertex of (0, -
Solution 2
To determine the domain of the absolute value function, we need to consider all possible input values. Since the graph opens down and has a vertex of (0, -3), this means that the function is defined for all real numbers. Therefore, the domain of the function is (-∞, ∞).
Next, let's determine the range of the function. The vertex of the graph is (0, -3), which means that the lowest point on the graph is at y = -3. Since the graph opens down, it will extend infinitely downwards. Therefore, the range of the function is (-∞, -3].
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