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Evgen [1.6K]
3 years ago
6

The graph of an absolute value function opens down and has a vertex of (-3,0).

Mathematics
2 answers:
QveST [7]3 years ago
8 0
<h2>Answer:</h2>

The domain of the function is:

                All real numbers i.e. (-∞,∞)

The range of the function is:

                     (-∞,0]

<h2>Step-by-step explanation:</h2>

It is given that:

The graph of an absolute value function opens down and has a vertex of (-3,0).

This means that the graph of the function increases continuously in the interval (-∞,-3] and takes maximum value 0 when x= -3 and then decreases continuously in the interval (-3,∞).

<u>Domain of a function--</u>

It is the set of all the x-values for which a function is defined i.e. it is the set of all the values of the independent variable for which the function is defined.

<u>Range of a function--</u>

It is the set of all the values attained by a function.

  • We know that a absolute value function is defined all over the real line i.e. the domain of the function is the set of all the real values i.e. (-∞,∞).
  • Also, the function takes all the value between -∞ and 0 and 0 is included.

                Hence, the range of the function is: (-∞,0].

dsp733 years ago
3 0
I wrote the domain and range in interval notation, not sure if that’s how you’re asked to do it. This is how I was taught to state the domain/range of a graph.

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