Domain: Range: Please help i need to answer this by tonight!!
2 answers:
Answer:
Domain: (-∞, ∞)
Range: f(x) ≤ 4 or (-∞, 4]
Step-by-step explanation:
Given the quadratic function,
where (-1, 4) is the vertex. Since the parabola is downward-facing, and its vertex is at point (-1, 4) in which it is the highest point, then it means that the value of range must be greater than or equal to 4.
Therefore, the <u><em>range</em></u> of the graph is:
f(x) ≤ 4 or
interval notation: (-∞, 4].
Set builder-notation: {y ∈ R | y ≤ 4}
The <u><em>domain</em></u> is all x values. Therefore, we can say that the domain is:
interval notation: (-∞, ∞).
Set builder-notation: {x | x ∈ <em>R</em>}.
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