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SSSSS [86.1K]
3 years ago
14

The table represents a function.

Mathematics
1 answer:
Elenna [48]3 years ago
3 0

f(5) is -8 ⇒ 1st answer

Step-by-step explanation:

Function is a relation between set of of ordered pairs (x , y),and every x has only one y

Examples:

  • {(-1 , 2) , (2 , 4) , (5 , -3)} is a function because x = -1 has only y = 2, x = 2 has only y = 4 and x = 5 has only y = -3
  • {(-2 , 4) , (0 , -1) , (-2 , 5)} is not a function because x = -2 has y = 4 and 5

The notation of the function is f(x) = y

The table:

→    x     :    f(x)

→    -4    :    -2

→    -1     :    5

→     3    :    4

→     5    :   -8

From the table

∵ x = -4

- The corresponding value of y to x = -4 is -2

∴ f(-4) = -2

∵ x = -1

- The corresponding value of y to x = -1 is 5

∴ f(-1) = 5

∵ x = 3

- The corresponding value of y to x = 3 is 4

∴ f(3) = 4

∵ x = 5

- The corresponding value of y to x = 5 is -8

∴ f(5) =-8

f(5) is -8

Learn more:

You can learn more about the functions in brainly.com/question/10879401

#LearnwithBrainly

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If g(x) = 2x2 + 6x + 5, use synthetic division to find g(-5).
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<h3>Answer:  25</h3>

=================================================

Explanation:

Check out the image below. I've posted the synthetic division table. The value at the very end of the bottom row is the remainder. By the remainder theorem, this is exactly the value of g(-5).

Recall the remainder theorem says: If you divide p(x) by (x-k), then the remainder is p(k). In this case, k = -5 is our test root which is the value placed in the box on the left.

As a way to check the answer, we can say

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