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Patterns & Functions -Functions
Question: Which of the following function rules satisfies the table?
A )
f
(
n
) = 2
n
+ 1
B )
f
(
n
) = 2
n
- 1
C )
f
(
n
) = 2
n
D )
f
(
n
) = 2
n
+ 2
Steps to derive
1
A function is an entity, which gives the relationship between the output and input.
2
The function is denoted by
f
(n
).
3
Let
n
represent the input in the table.
4
Output = 2 × Input + 1 = 2 ×
n
+ 1
5
The function, which satisfies the table is
f
(
n
) = 2
n
+ 1.
Hence the right answer is Option A
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