Question

Determine which graph matches the function f(x)=3x−−√
.

Option #1:

A coordinate plane's axes range from negative 4 to 4, both by 1-unit increments. An S-shaped curve is plotted passing through the first and third quadrants.
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Option #2:

A coordinate plane's x-axis ranges from negative 2 to 4 and its y-axis ranges from negative 2 to 6, both by 1-unit increments. A curve is plotted in quadrant 1.
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(1 point)
Option #

Answer 1

Option #2.

Reason: f(x) = √(3x) is defined only for x ≥ 0 and yields y ≥ 0, so its graph lies in quadrant I, starts at (0,0) and rises with decreasing slope (a square-root shape). Option #2 matches that; Option #1 is an S-shaped (odd) curve and does not fit.