Which relations are functions?

choose all answers that are correct.

{(2,4), (-1, 7), (3,0), (5,4)}

{(-4,0), (-4,8), (-1, 3), (2,9)}

{(-6, 1), (0, 1), (2, 1), (3, 1)}

{(-3, -3), (-1, 6), (4, 5), (5, 4)}

{(2,4), (-1, 7), (3,0), (5,4)}

{(-6, 1), (0, 1), (2, 1), (3, 1)}

{(-3, -3), (-1, 6), (4, 5), (5, 4)}

Step-by-step explanation:

For a relation to be a function, the same x-value can't have multiple y-values.

For this reason, this relation is not a function:

{(-4,0), (-4,8), (-1, 3), (2,9)}

And these are functions:

{(2,4), (-1, 7), (3,0), (5,4)}

{(-6, 1), (0, 1), (2, 1), (3, 1)}

{(-3, -3), (-1, 6), (4, 5), (5, 4)}

for this pair of functions g(x)=x-2 and f(x)=|x| is (g o f)(a)= |a| -2

step-by-step explanation:

g(x)=x-2

f(x)=|x|

(g o f)(a)=?

(g o f)(x)=g(f(x))

(g o f)(x)=g(|x|)

(g o f)(x)=|x|-2

(g o f)(a)=|a|-2