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horrorfan [7]
3 years ago
10

Use this table to construct the function that it represents.

Mathematics
1 answer:
Rzqust [24]3 years ago
8 0

Answer:

Option A. f(x) = 4x + 7

Step-by-step explanation:

To obtain the answer to the question, we simply try each of the equation using the first two value of x in the table to see which of them will satisfy the table. This is illustrated below:

For option A

1. f(x) = 4x + 7

x = - 1

f(x) = 4(-1) + 7

f(x) = - 4 + 7

f(x) = 3

2. f(x) = 4x + 7

x = 0

f(x) = 4(0) + 7

f(x) = 0 + 7

f(x) = 0

For option B

1. f(x) = 7x - 4

x = - 1

f(x) = 7(-1) - 4

f(x) = - 7 - 4

f(x) = - 11

2. f(x) = 7x - 4

x = 0

f(x) = 7(0) - 4

f(x) = 0 - 4

f(x) = - 4

For Option C

1. f(x) = -4x - 1

x = - 1

f(x) = -4(-1) - 1

f(x) = 4 - 1

f(x) = 3

2. f(x) = -4x - 1

x = 0

f(x) = -4(0) - 1

f(x) = 0 - 1

f(x) = - 1

For Option D

1. f(x) = x + 7

x = - 1

f(x) = - 1 + 7

f(x) = 6

2. f(x) = x + 7

x = 0

f(x) = 0 + 7

f(x) = 7

From the illustrations made above, only option A satisfy the table.

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All you need is the double angle identity:

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So we have

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Apply the identity again to the squared term:

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Answer: -1t + 720

Step-by-step explanation:

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