1. State whether the given equation determines y as a function of x: a.x+y=1 b.x^2 +y^2 =1 c. y^2 =x^2

Question

1. State whether the given equation determines y as a function of x:

a. x+y=1

b.x^2 +y^2 =1

c. y^2 =x^2

Answer 1

a is a function

b and c are not

b is a circle. Use the vertical line test. IF you can draw a vertical line through the graph and cut it twice, it's not a function. same problem with c.