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Select the correct answer.
If the function 5x + y=1 has the domain (-2, 1, 6), then what is the corresponding range?
A. {-9,6,31}
B. {9, -6, -31)
C. {-11, 4, 29}
D. (11,-4,-29)

Respuesta :

Answer:

answer is D

Step-by-step explanation:

5(-2) + y = 1      5(1) + y = 1   5(6) + y = 1  

-10 + y = 1          5 + y = 1      30 + y = 1

y - 10 = 1            y + 5 = 1       y + 30 = 1

y = 11                 y = -4            y= -29

vijayhalder031

The corresponding range function 5x + y=1 which has the domain (-2, 1, 6) will be option (D) {11,-4,-29}

Corresponding range

A function is a correspondence or rule that assigns to each element in one set, called the domain D, exactly one element from a second set, called the range R.

How to solve this problem?

The Steps are as follow:

  • Given

Function = 5x + y = 1

domain  = (-2 , 1, 6)

Corresponding range = ?

  • According to subject x ∈ {-2,1,6}
  • So we will put the value of x as -2 ,1, 6 in function to find corresponding range which will be as follow:

let x = -2

∴ 5x + y =1

∴ 5(-2) + y =1

∴  -10 + y =1

∴ y = 11

x = 1

∴ 5x + y = 1

∴ 5(1) + y = 1

∴ 5 + y = 1

∴ y = -4

x = 6

∴ 5x + y =1

∴ 5(6) + y = 1

∴ 30 + y =1

∴ y = -29

So the corresponding range function 5x + y=1 which has the domain (-2, 1, 6) will be option (D) {11,-4,-29}

Learn more about corresponding range here:

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