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Functions question

2012 · Shift 1 · Q39

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PYQ Library
JEE Advanced
Mathematics
Functions
2012 · Shift 1 · Q39

Functions question

2012 · Shift 1 · Q39

JEE AdvancedMathematicsFunctionsMCQ+3 / −1

The function

f:[0,3] \to [1,29]

, defined by

f(x) = 2{x^3} - 15{x^2} + 36x + 1

, is

A
one-one and onto.
B
onto but not one-one.
C
one-one but not onto.
D
neither one-one nor onto.

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