JEE MATHEMATICS MCQ: FUNCTIONS

1 Easy

1 of 1

Application +4 | -1

A quadratic polynomial maps from

[-2,3]

onto

[0,3]

and touches

X

-axis at

x=3

, then the polynomial is

View answer and explanation

Correct option: B

\frac{3}{25}\left(x^2-6 x+9\right)

Option B (

\frac{3}{25}(x^2-6x+9)

) is correct because the quadratic touches the x-axis at x=3 and maps [-2,3] onto [0,3].

More Questions from FUNCTIONS

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f:(-\infty, 2] \longrightarrow(-\infty, 4]

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f:\left( {2,\;3} \right) \to \left( {0,\;1} \right)

f\left( x \right) = x - \left[ x \right]

{f^{ - 1}}\left( x \right)

f: R \rightarrow R

f(x)=x^4

f(x)=(x+1)^2-1(x \geq-1)

S=\left\{x: f(x)=f^{-1}(x)\right\}