Identify the domain and range of the function graphed below.

Domain:
Range:
Identify the domain and range of the function graphed below. - 1

Answers

Answer 1
Answer:

Answer:

The domain is x\leq 4

The range is y\geq 0

Step-by-step explanation:

we know that

The domain of the function graphed is the interval------> (-∞,4]

x\leq 4 -----> All real numbers less than or equal to 4

The range of the function graphed is the interval------> [0,∞)

y\geq 0 -----> All real numbers greater than or equal to 0

Answer 2
Answer:

The domain of the function is the interval \boxed{\left( { - \infty ,4} \right]} and the range of the function is the interval \boxed{\left[ {0,\infty } \right)}.

Further explanation:

Domain

The domain of the function is the set of all input values for the function that all are independent variables.

The values from domain of the function represent on the xaxis of the graph.

The domain is the set of real numbers that is defined on the function.

It can be seen from the given graph that the function does not provide any output values for x > 4.

Therefore, the domain for the function is x \leqslant 4.

Thus, the domain of the function is the interval \left( { - \infty ,4} \right] that means all the real number less than or equal to 4.

Range:

The range of the function is the set of all output value of the function.

The range of the function is the subset of the co-domain.

The elements of the range represents on the y axis and these all are dependent values.

It can be seen from the given figure that the graph of the function is only shown above the y axis  that means the output values of the function is only positive real numbers.

Therefore, the range of the function is all real numbers greater than or equal to 0.

Thus, the range of the function is the interval \left[ {0,\infty } \right).

Learn more:  

  1. Learn more about the composition of the function brainly.com/question/2725608
  2. Learn more about the inverse of the function brainly.com/question/1632445
  3. Learn more about graph of the trigonometric function brainly.com/question/1388658

Answer details:

Grade: High school

Subject: Mathematics

Chapter: Function

Keywords: Function, domain, range, graph, elements, greater equal, small, subset, set, dependent, variable, value, independent, output, input values.


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Answers

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Answers

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Answers

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Answers

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