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Functions & Graphs (level - 2)
Q1–10 of 41
1

The values of x, for which the functions f(x) = x, g(x) = (√x)² and h(x) = x²/x are identical, is

Correct Answer: B. 0 < x
Explanation: No explanation available.
2

Which of the following is an even function?

Correct Answer: C. eˣ + e⁻ˣ
Explanation: No explanation available.
3

The graph of y = (x + 3)³ + 1 is the graph of y = x³ shifted

Correct Answer: C. 3 units to the left and 1 unit up
Explanation: No explanation available.
4

If f(x) = 5x³ and g(x) = 3x⁵, then f(x).g(x) will be

Correct Answer: A. Even function
Explanation: No explanation available.
5

If f(x) = x² and g(x) = logₑx, then f(x) + g(x) will be

Correct Answer: D. Neither (a) nor (b)
Explanation: No explanation available.
6

If f(x) = x³ and g(x) = x²/5, then f(x) – g(x) will be

Correct Answer: C. Neither (a) nor (b)
Explanation: No explanation available.
7

f(x) is any function and f⁻¹(x) is known as inverse of f(x), then f⁻¹(x) of f(x) = 1/(x – 2) is

Correct Answer: A. 1/x + 2
Explanation: No explanation available.
8

f(x) is any function and f⁻¹(x) is known as inverse of f(x), then f⁻¹(x) of f(x) = eˣ is

Correct Answer: C. logₑx
Explanation: No explanation available.
9

Directions for Questions 9 to 18:

Mark(a) if f(–x) = f(x)

Mark (b) if f(–x) = –f(x)

Mark (c) if neither (a) nor (b) is true

Mark (d) if f(x) does not exist at at least one point of the domain.

Question Image
Correct Answer: B. b
Explanation: No explanation available.
10

Directions for Questions 9 to 18:

Mark (a) if f(–x) = f(x)

Mark (b) if f(–x) = –f(x)

Mark (c) if neither (a) nor (b) is true

Mark (d) if f(x) does not exist at at least one point of the domain.

Question Image
Correct Answer: A. a
Explanation: No explanation available.
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