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The function g is defined as follows for the domain given. g(x) = 2 - 2x , domain = \{- 1, 0, 1, 2\} Write the range of g using set notation . Then graph g

The Function G Is Defined As Follows For The Domain Given Gx 2 2x Domain 1 0 1 2 Write The Range Of G Using Set Notation Then Graph G class=

Sagot :

Explanation:

The function is given below as

[tex]g(x)=2-2x[/tex]

The set of domains is given below as

[tex]\lbrace-1,0,1,2\rbrace[/tex]

Step 1:

Put x=-1

[tex]\begin{gathered} g(x)=2-2x \\ g(-1)=2-2(-1) \\ g(-1)=2+2 \\ g(-1)=4 \end{gathered}[/tex]

Step 2:

Put x=0

[tex]\begin{gathered} g(x)=2-2x \\ g(0)=2-2(0) \\ g(0)=2 \end{gathered}[/tex]

Step 3:

Put x=1

[tex]\begin{gathered} g(x)=2-2x \\ g(1)=2-2(1) \\ g(1)=2-2 \\ g(1)=0 \end{gathered}[/tex]

Step 4:

Put x=2

[tex]\begin{gathered} g(x)=2-2x \\ g(2)=2-2(2) \\ g(2)=2-4 \\ g(2)=-2 \end{gathered}[/tex]

Hence,

The range of g(x) using set notation will be

[tex]\Rightarrow\lbrace4,2,0,-2\rbrace[/tex]

Hence,

The graph of g(x) is given below as

View image YashasN552131
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