Choose the function that represents the data in the table. x 0 1 2 3 4 5 y 0 3 12 27 48 75
Answer
A
y is equal to 3 x squared
B
y is equal to 2 x plus 3
C
y is equal to x squared plus 3
D
y is equal to x squared
Explanation
Compare the y-values with 3x². For x = 1, 3(1²) = 3; for x = 2, 3(2²) = 12; and for x = 5, 3(5²) = 75, matching the table. Thus the function is y = 3x², choice A.
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