What are the domain and the range of this graph? a) The domain is x∈R and the range is y∈R. b) The domain is x≤0 and the range is y∈R. c) The domain is x∈R and the range is y∈R.…

Question

What are the domain and the range of this graph?

a) The domain is x≤0 and the range is y≤0.
b) The domain is x≤0 and the range is y≥0.
c) The domain is x and the range is y≤0.
d) The domain is x∈R and the range is y∈R.

Answer 1

• d) The domain is x∈R and the range is y∈R

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Given is the graph of an absolute value function.

It has no domain restrictions, so x can be any real number.

There is a restriction on its range, it has a minimum at y = 0 and the rest of the values are positive real numbers.

It is correctly described in option d).