ECAT Mathematics Chapter 17 online mcq test with answers for chapter 17 (Functions and Limits)

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Sr. #	Question	Answer
1	If f(x) = x + 1 then f(z²-1) is	A. z² B. z²+ 2 C.z²- 2 D. none of these
2	Graph of the question x²+ y²= 4 is	A. A circle B. An ellipse C.A parabola D. A square
3		A. -2 B. -1 C.1 D. 2
4		A. sin h x B. cos h x C.tan h x D. cot h x
5	If f(x)= x³ then f(-2) is	A. -2 B. -4 C.-8 D. 8
6		A. f(x) = x² B. f(x²) = x C.f(x) = x D. none of these
7	If a variable y dependents on a variable x in such a way that each value of x determines exactly one value of y, then we say that	A. x is function of y B. y is a function of x C.y is independent variable D. x is real valued function
8	If f(x) = -x²then f(-2) is	A. -2 B. 2 C.-4 D. 4
9		A. R/[0,4] B. R/(0,4) C.(0,4) D. [0,4]
10	The function f(x) =\|x\| is a/an_______function	A. Even B. Odd C.Both even as well as odd D. Neither even nor odd
11	If f(x) = tan x then f(0) is	A. 0 B. 1 C.1/2
12		A. Does not exist because f is unbounded B. Is not attained even though f is bounded C.Is equal to 1 D. Is equal to -1
13	sin h x = ___________
14		A. 2 B. 6
15
16	An even function is symmetric about the line	A. y = x B. x = 0 C.y = -x D. y = 0
17	A function of the form p(x)/Q(x) is called:	A. Rational function B. Logarithmic function C.Exponential function D. Hyperbolic function
18	The only function which is both even and odd is	A. f(x) =α B. f(x) = x C.f(x) =0 D. Both A & B
19		A. quadratic function B. constant function C.trigonometric function D. linear function
20		A. 0 B. 1 C.-1 D. none of these
21		A. x = f(y) B. y = f(x) C.x = f(x) D. y = f(y)
22	Which is an explicit function	A. y = x²+ 2x - 1 B. x²+ xy + y²= 2 C.x²+ y²= xy + 2 D. All are
23		A. sin h x B. cos h x C.sec h x D. cosec h x
24		A. 0 B. 1 C.8 D. ∞
25	Composition of functions is	A. Non-commutative (fg ≠ gf) B. non-associative [8(fh) ≠(8f)h] C.Commutative (fg = gf) D. f of-1≠ 1
26	f(x) = sin x + cos²x is	A. trigonometric function B. algebraic function C.exponential function D. logarithmic function
27	If y is an image of x under the function f, then we write	A. y = f(x) B. x = f(y) C.y = x D. none of these
28	A function F(x) is called even if	A. F(x) = F (-x) B. F(x) = F(-x) C.F(x) = -F(x) D. 2F(x) = 0
29	In the function f: A⟶B, the elements of a are called	A. Images B. Pre-images C.ranges D. Parameters
30	The value of x which is unchanged by the mapping in the function defined by f ; x⟶ x² + 5x -5 for x> 0 is	A. 1 B. 5 C.-5 D. -1