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Andrei [34K]
3 years ago
11

Evaluate the function for the given values of x.

Mathematics
1 answer:
Andre45 [30]3 years ago
3 0

Answer:

Step-by-step explanation:

f(2) = (2)² + 2 = 6

f(-2) = -3(-2) + 6 = 12

f(-1) = (-1)² + 2 = 3

f(4) = 5

f(5) = 5

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Answer:

f(n) =4 + f(n-1) \\for\ n>2

Step-by-step explanation:

Given

f(1)=2\\ f(2)= 6\\ f(3)= 10\\ f(4)= 14\\ f(5)= 18

Required

Determine the formula

First, we need to solve common difference (d)

d = f(n) - f(n-1)

Take n as 2

d = f(2) - f(2-1)

d = 6 - 2

d = 4

Represent each function as a sum of the previous

f(1) = 2

f(2) = 2 + 4 = f(1) + 4

f(3) = 6 + 4 = f(2) + 4

f(4) = 10 + 4 = f(3) + 4

f(5) = 14 + 4 = f(4) + 4

Represent the function as f(n)

f(n) =f(n-1) + 4

Reorder

f(n) =4 + f(n-1) \\for\ n>2

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