Confused on one-to-one functions. just need 11-14 plz(: u

11. YES. Because each x-value is only used once (no duplicate x-coordinates)

12. range is the y-values.  the lowest it goes is -2 (with an open dot), then it goes to +2 (with an open dot).  then there is a separate line where y = 4.

(-2, 2) U [4, 4]

13. f(-1): when x = -1, y = ???  (do not count the open dot!)

1

14. f(3): when x = 3, y = ???  (do not count the open dot!)

4

g(x) = x² + 2

step-by-step explanation:

it is given that the graphs are the same shape.

the only difference is that the red graph is 2 units higher than the blue graph.

that is to say that the red graph is simply the blue graph that has been moved vertically by 2 units in the positive y direction.

hence

g(x) = f(x) + 2

or

g(x) = x² + 2