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:
 $y = \sqrt{x} - 3$
 When replacing x = 0 we have:
 $y = \sqrt{0} - 3$
 $y = 0-3 y = -3$
 This result agrees with the graph shown.

 Answer:
 $y = \sqrt{x} - 3$
 Option D.