Question

Please help! Match the graph with its function.

Answer 1

For this case we are going to do a small step-by-step study of the given functions.

1) Option A is discarded because by substituting x = 0 in the given equation, the result is positive, which does not agree with the graph.

2) Option B is discarded because when substituting x = 0 in the given equation, the root is negative and the result will be an imaginary number.

3) Option C is discarded because when substituting x = 0 in the given equation, the result is positive, which does not agree with the graph.

4) Option D is the correct one:

`y = √(x) - 3`
When replacing x = 0 we have:

`y = √(0) - 3`

`y = 0-3 y = -3`
This result agrees with the graph shown.

Answer:

`y = √(x) - 3`
Option D.