Question

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}

Answer 1

Answer:

The answer to your question is: letter D

Step-by-step explanation:

Function

                                       5x + y = 1

Domain                           {-2, 1, 6}

Process

Domain is the possible values of the independent variable.

Range is the values of the dependent variable.

Evaluate the function with each of the domain values to get "y"

When x = -2

                       5(-2) + y = 1

                       -10 + y = 1

                       y = 10 + 1

                       y = 11

When x = 1

                     5(1) + y = 1

                     5 + y = 1

                    y = -5 + 1

                    y = -4

When x = 6

                    5(6) + y = 1

                    30 + y = 1

                   y = 1 - 30

                   y =  -29

Range = { 11, -4 , -29}