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The graph of a quadratic function with vertex (0, -2) is shown in the figure below.
Find the range and the domain.
Write your answers as inequalities, using x or y as appropriate.
Or you may instead click on "Empty set" or "All reals" as the answer.

(a) Range:
(b) Domain:

The Graph Of A Quadratic Function With Vertex 0 2 Is Shown In The Figure Below Find The Range And The Domain Write Your Answers As Inequalities Using X Or Y As class=

Sagot :

Wallameg000

Answer:

(a) Range: y ≥ -2

(b) Domain: All reals

Step-by-step explanation:

Domain and range help describe the values covered by a graph.

Domain

The domain is all of the x-values covered by a graph. Since x-values are the inputs, the domain describes the values that can be plugged into a function and have a defined output. The graph above has a domain of all reals. This is because any number can be input and give an output. All quadratic functions have a domain of all reals because eventually, the graph will cover every real x-value. This can be written as (-∞ ,∞) in interval notation.

Range

The range is every y-value covered by a graph. Y-values are the output of a function. So, range describes the values that can be found by plugging a number into the function and solving. The range is y ≥ -2. This means that the graph covers all y-values that are greater than -2. By looking at the graph you can see that the graph does not cover any y-values below -2. However, it will hit every y-value above y = -2. In interval notation, the range is [-2, ∞)

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