2 Answers: Choice A, Choice D
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Explanation:
The domain is the set of all real numbers because we can replace x with any real number we want to get some y output. There isn't any restriction on x. We don't have to worry about dividing by zero for instance. This is why choice A is one of the answers.
The range is restricted however. The largest value we can make in the range is y = 0. The graph of y = -4x^2 shows a parabola that opens upside down. The highest point is at (0,0). So that's why choice D is the other answer.
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Extra info:
- Choice B is false because we can get outputs like y = -3, y = -2, y = -1, or y = 0.
- Choice C is false. A parabola has one half increasing, and the other half decreasing.
- Choice E is false since there is only one x intercept and it happens at (0,0) in this case. This is also the location of the y intercept as well. See the graph below.
