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Ivanshal [37]
3 years ago
9

State the domain and range of the function:domain:range:​

Mathematics
1 answer:
agasfer [191]3 years ago
7 0

Answer:

Domain: [-5, 1)

Range: (5, 1]

General Formulas and Concepts:

<u>Algebra I</u>

  • Domain is the set of x-values that can be inputted into function f(x)
  • Range is the set of y-values that are outputted by function f(x)

Step-by-step explanation:

According to the graph, our x-values span from -5 to 1. Since -5 is a closed dot, it is inclusive in the domain. Since -1 is an open dot, it is exclusive in the domain:

[-5, 1)

According to the graph, our x-values span from -5 to 1. Since -5 is an open dot, it is exclusive in the range. Since 1 is a closed dot dot, it is exclusive in the range:

(5, 1]

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x=-6 is an extraneous solution

Step-by-step explanation:

we have

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solve the quadratic equation by graphing

The solution is x=-6 and x=-1

see the attached figure

<u><em>Verify each solution</em></u>

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For x=-6

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so

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For x=-1

\sqrt{-3(-1)-2} =-1+2

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so

Is the solution

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