GATE EE 2018 - Engineering Mathematics Daily Quiz- 4

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Question 1

Consider the function f(x) = x² – x - 2. The maximum value of f(x) in the closed interval [–4, 4] is:

• A18
• B10
• C–2.25
• D0

Question 2

The value of

• Ae⁷
• Be⁶
• Ce⁵
• De⁴

Question 3

Which of the following functions is not differentiable in the domain [–1, 1]?

• Af(x) = x²
• Bf(x) = x–1
• Cf(x) = 2
• Df(x) = maximum (x, –x)

Question 4

Consider the function in the interval . At the point . is

• Acontinuous and differentiable
• Bnon-continuous and differentiable.
• Ccontinuous and non-differentiable
• Dneither continuous nor differentiable.

Question 5

As x is increased from –∞ to ∞, the function

• Amonotonically increases
• Bmonotonically decreases
• Cincreases to a maximum value and then decreases
• Ddecreases to a minimum value and then increases

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