Question

What is the range of the function 2x + y = 7 if the domain is {-4, -2, 0, 5, 7)?

A) {-4, -2, 0, 5, 7}
B) {7}
C) (3, 5, 7, 12, 14}
D) {-7, -3, 7, 11, 15}

Answer 1

To find the range of the function 2x + y = 7 with a given domain, substitute each value of x into the equation and solve for y.

Step-by-step explanation:

The given function is 2x + y = 7. To find the range, we need to determine all the possible values of y for the given values of x in the domain.

Substitute each value of x from the domain into the equation and solve for y:

• For x = -4: 2(-4) + y = 7 => -8 + y = 7 => y = 15
• For x = -2: 2(-2) + y = 7 => -4 + y = 7 => y = 11
• For x = 0: 2(0) + y = 7 => 0 + y = 7 => y = 7
• For x = 5: 2(5) + y = 7 => 10 + y = 7 => y = -3
• For x = 7: 2(7) + y = 7 => 14 + y = 7 => y = -7

The range of the function is {15, 11, 7, -3, -7}.