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What is the domain of the function on the graph?

all real numbers
all real numbers greater than or equal to 0
all real numbers greater than or equal to –2
all real numbers greater than or equal to –3

What is the domain of the function on the graph all real numbers all real numbers greater than or equal to 0 all real numbers greater than or equal to 2 all re class=

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Answer:

my answer is D

Step-by-step explanation:

Go to the left-most point on the graph. That point is (-3,-2). The x coordinate of this point is x = -3. So the smallest x can be is x = -3. The variable x can't be any smaller. It can be larger than -3. Since x can equal -3 or be larger, this makes the domain to be  (x is greater than or equal to -3) In interval notation, you would write The square bracket tells you to include the endpoint -3 while the curved parenthesis tells you to exclude infinity as an endpoint. Plus or minus infinity is always associated with a curved parenthesis.

The domain of the function is the interval [tex]\boxed{\left[ {\begin{array}{*{20}{c}}{ - 3}&\infty \end{array}} \right)}[/tex].

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 [tex]x[/tex] axis 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 [tex]x <  - 3[/tex].

Therefore, the domain for the function is [tex]x <  - 3[/tex].

Thus, the domain of the function is the interval [tex]\left[ {\begin{array}{*{20}{c}}{ - 3}&\infty  \end{array}} \right)[/tex] that means all the real number more than or equal to [tex]-3[/tex].

Therefore, option 4 “ all real numbers greater than or equal to [tex]-3[/tex]” is correct.

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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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