Answer:
The correct options are:
Option b) (1, 3 + 1/2)
Option d) (2,3)
Step-by-step explanation:
Suppose that we have a function:
y = f(x)
A ordered pair (a, b) satisfies this function if:
b = f(a).
In this case, the function is:
y = -(1/2)*x + 4
Let's try with each one of the options:
a) (-1, 3 + 1/2)
Replacing these values we get:
3 + 1/2 = -(1/2)*-1 + 4
3 + 1/2 = 1/2 + 4
3 + 1/2 = 4 + 1/2
This is false, then the point (-1, 3 + 1/2) does not satisfy the function.
b) (1, 3 + 1/2)
Replacing these values we get:
3 + 1/2 = -(1/2)*1 + 4
3 + 1/2 = 4 - 1/2 = (3 + 1) - 1/2 = 3 + (1 - 1/2) = 3 + 1/2
3 + 1/2 = 3 + 1/2
This ordered pair satisfies the function.
c) (2&1/2, 3)
Replacing these values we get:
3 = (-1/2)*(2 + 1/2) + 4
3 = -(1/2)*2 - (1/2)*(1/2) + 4
3 = -1 - 1/4 + 4
3 = 3 - 1/4
This is false, then the point (2 + 1/2, 3) does not satisfy the function.
d) (2, 3)
Replacing these values in the function we get:
3 = -(1/2)*2 + 4
3 = - 1 + 4
3 = 3
This is true, then (2, 3) satisfies the function.
