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liberstina [14]
1 year ago
9

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

Mathematics
1 answer:
Musya8 [376]1 year ago
8 0

Explanation:

The function is given below as

g(x)=2-2x

The set of domains is given below as

\lbrace-1,0,1,2\rbrace

Step 1:

Put x=-1

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

Step 2:

Put x=0

\begin{gathered} g(x)=2-2x \\ g(0)=2-2(0) \\ g(0)=2 \end{gathered}

Step 3:

Put x=1

\begin{gathered} g(x)=2-2x \\ g(1)=2-2(1) \\ g(1)=2-2 \\ g(1)=0 \end{gathered}

Step 4:

Put x=2

\begin{gathered} g(x)=2-2x \\ g(2)=2-2(2) \\ g(2)=2-4 \\ g(2)=-2 \end{gathered}

Hence,

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

\Rightarrow\lbrace4,2,0,-2\rbrace

Hence,

The graph of g(x) is given below as

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