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Limits Continuity and Differentiability question

2021 · Shift 1 · Q31

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JEE Advanced
Mathematics
Limits Continuity and Differentiability
2021 · Shift 1 · Q31

Limits Continuity and Differentiability question

2021 · Shift 1 · Q31

JEE AdvancedMathematicsLimits Continuity and DifferentiabilityMultiple correct+4 / −2

Let f : R

\to

R be defined by

f(x) = {{{x^2} - 3x - 6} \over {{x^2} + 2x + 4}}

Then which of the following statements is (are) TRUE?

A
f is decreasing in the interval ( $-$ 2, $-$ 1)
B
f is increasing in the interval (1, 2)
C
f is onto
D
Range of f is $\left[ { - {3 \over 2},2} \right]$

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