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3 years ago

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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