Question

What is the solution set of the equation y = 2x + 1 if the Domain is {-3, 5, 9)?

a) {(-3, -5), (5, 11), (9, 19)}
b) {(-3, -5), (5, 10), (9, 17)}
c) {(-3, -5), (5, 11), (9, 17)}
d) {(-3, -5), (5, 10), (9, 19)}

Answer 1

The complete solution set for the equation y = 2x + 1 with the domain {-3, 5, 9} is {(-3, -5), (5, 11), (9, 19)}.

Step-by-step explanation:

To find the solution set of the equation y = 2x + 1 given the domain \{-3, 5, 9\}, you plug each value from the domain into the equation to determine the corresponding y-values, thus creating ordered pairs.

For x = -3: y = 2(-3) + 1 = -6 + 1 = -5, creating the ordered pair (-3, -5).

For x = 5: y = 2(5) + 1 = 10 + 1 = 11, creating the ordered pair (5, 11).

For x = 9: y = 2(9) + 1 = 18 + 1 = 19, creating the ordered pair (9, 19).

The complete solution set, given the domain, is: {(-3, -5), (5, 11), (9, 19)}.