Which is the graph of the function f of x is equal to square root of 9 fourths x end root ?
Answer
A
Image with description A coordinate plane with the x-axis labeled from 0 to 9 and the y-axis labeled from 0 to 4.5. A smooth curve is plotted that originates from the point 0 comma 0 and passes through the point 1 comma 0.66 and the point 4 comma 1.33.
B
Image with description A coordinate plane has both the x and y axes labeled from 0 to 9. A smooth curve is plotted that originates from the point 0 comma 0 and passes through the point 1 comma 1.5 and the point 4 comma 3.
C
Image with description A coordinate plane with the x-axis labeled from 0 to 9 and the y-axis labeled from 0 to 4.5. A smooth curve is plotted that originates from the point 0 comma 0 and passes through the point 1 comma 0.44 and the point 4 comma 0.89.
D
Image with description A coordinate plane has both the x and y axes labeled from 0 to 9. A smooth curve is plotted that originates from the point 0 comma 0 and passes through the point 1 comma 2.25 and the point 4 comma 4.5.
Explanation
The function is f(x) = √((9/4)x). At x = 1, f(1) = √(9/4) = 1.5, and at x = 4, f(4) = √9 = 3. The graph that passes through (1, 1.5) and (4, 3) is choice B.
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