Question

The curve passes through left parenthesis 0 comma 0 right parenthesis, left parenthesis 1 comma 2 right parenthesis, left parenthesis 2 comma 2.9 right parenthesis, left parenthesis 3 comma 3.4 right parenthesis, and left parenthesis 4 comma 4 right parenthesis.

Select the option that matches the graph.

Option #1: The graph of the function matches f(x)=2x−−√3
.

Option #2: The graph of the function matches f(x)=2x−−√
.

(1 point)

Answer 1

Option #2.

For f(x) = 2√x: f(0)=0, f(1)=2, f(2)=2√2≈2.828 (≈2.9), f(3)=2√3≈3.464 (≈3.4), f(4)=4 — these match the given points.