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3 years ago

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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Hunter-Best [27]

Answer:

a) The table of values represents the ordered pairs formed by the elements of the sequence ( $a_{i}$ ) (range) and their respective indexes ( $i$ ) (domain):

$i$ $a_{i}$

1 6

2 11

3 16

4 21

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b) The algebraic expression for the general term of the sequence is $a(i) = 6 + 5\cdot (i - 1)$ .

c) The 25th term in the sequence is 126.

Step-by-step explanation:

a) Make a table of values for the sequence 6, 11, 16, 21, 26, ...

The table of values represents the ordered pairs formed by the elements of the sequence ( $a_{i}$ ) (range) and their respective indexes ( $i$ ) (domain):

$i$ $a_{i}$

1 6

2 11

3 16

4 21

5 26

b) Based on the table of values, we notice a constant difference between two consecutive elements of the sequence, a characteristic of arithmetic series, whose form is:

$a(i) = a_{1} + r\cdot (i - 1)$ (1)