Question

Write the domain and range as inequalities.

Answer 1

Answer:

• domain: -∞ < x < ∞
• range: -2 ≤ y < ∞

Step-by-step explanation:

Domain

The domain is the horizontal extent of the function, the set of input values for which it is defined. A parabola that opens up or down is defined for all x values, so its domain is ...

  -∞ < x < ∞ . . . . . . (-∞, ∞) in interval notation

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Range

The range is the vertical extent of the function, the set of output values it produces. The vertex of the parabola is one extreme of the range. Depending on the direction it opens, the other extreme will be +∞ or -∞. The range includes the y-value of the vertex. Here, the range is ...

  -2 ≤ y < ∞ . . . . . . [-2, ∞) in interval notation