For this graph, mark the statements that are true.

A. The domain is the set of all real numbers greater than or equal to zero.
B. The range is the set of all real numbers.
C. The range is the set of all real numbers greater than or equal to zero.
D. The domain is the set of all real numbers.

Question

06-06-2021
Mathematics

Answered

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For this graph, mark the statements that are true.

A. The domain is the set of all real numbers greater than or equal to zero.
B. The range is the set of all real numbers.
C. The range is the set of all real numbers greater than or equal to zero.
D. The domain is the set of all real numbers.

Sagot :

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Erinnaidn Erinnaidn · Answer 1 · 2021-06-11T21:21:00-04:00

Given:

The graph of function.

To find:

The correct statement for the domain and range of the given graph.

Solution:

Domain: The set of input values.

Range: The set of output value.

From the given graph it is clear that the graph represents a polynomial function.

The given graph of a polynomial function is defined for all real values of x. So, the domain is the set of all real numbers.

The graph of the function approaches from negative infinite to positive infinite. So, the output the given graph is set of all real numbers. It means the range is the set of all real numbers.

Therefore, the correct options are B and D.

MrRoyalidn MrRoyalidn · Answer 2 · 2022-02-10T07:31:02-05:00

The true statements are:

B. The range is the set of all real numbers.

D. The domain is the set of all real numbers.

From the figure, we can see that the graph extends in all directions without any end.

This means that, the graph of the function can take any real value as its input, and output

Hence, the domain and the range of the graph are set of all real numbers

Read more about domain and range at:

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