Answer:
The range of the function is Range = { - 9, - 7, - 5, - 3, - 1 }.
Explanation:
Given,
Domain = { - 2, - 1, 0 , 1 2 }
f ( x ) = 2x - 5
When,
x = - 2
f ( x ) = 2x -5
f ( - 2 ) = 2 . ( - 2 ) -5
= - 4 - 5
= - 9
When,
x = - 1
f ( x ) = 2x - 5
f ( - 1 ) = 2 . ( - 1 ) - 5
= - 2 - 5
= - 7
When,
x = 0
f ( x ) = 2x - 5
f ( 0 ) = 2 . ( 0 ) - 5
= 0 - 5
= - 5
When,
x = 1
f ( x ) = 2x - 5
f ( 1 ) = 2 . ( 1 ) - 5
= 2 - 5
= - 3
When,
x = 2
f ( x ) = 2x - 5
f ( 2 ) = 2 . ( 2 ) - 5
= 4 - 5
= - 1
∴ Range = { - 9, - 7, - 5, - 3, - 1 }
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