Relations & Functions II(Lowersixth Science Mathematics)

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Relations & Functions II(Lowersixth Science Mathematics)


Froggy Jumps Relations & Functions II(Lowersixth Science Mathematics)Version en ligne Fun quiz on functions & mappings par YAKILI LMS 1 What represents a function graphically as a curved or straight line showing input-output pairs? a Matrix b Table c Graph 2 If f(x) = 2x, what is the inverse function f^{-1}(y)? a f^{-1}(y) = y b f^{-1}(y) = y/2 c f^{-1}(y) = 2y 3 What is the key property of a function in relation to inputs and outputs? a Multiple outputs per input b No outputs c One output per input 4 A relation with both many-to-one and one-to-one parts is called what? a Function b Not a function c Bijective 5 What term describes a function’s output pattern repeating over intervals? a Periodicity b Discontinuity c Continuity 6 Which property means every y-value has at least one x-image? a Surjective b Bijective c Injective 7 Which property means each y-value has at most one x-image? a Surjective b Bijective c Injective 8 A one-to-one mapping is also called what? a Injective b Surjective c Bijective 9 What describes a function that passes the horizontal line test? a Injective b Surjective c Bijective 10 Which mapping has both injective and surjective properties? a Bijective b Injective c Surjective 11 If a function is bijective, its inverse is what type of function? a Also bijective b Non-invertible c Constant 12 What does a continuous function graph look like without breaks? a Unbroken curve b Separated pieces c Vertical jumps 13 Discontinuity where a function has a hole in the graph is called what? a essential discontinuity b removable discontinuity c jump discontinuity 14 A jump in the graph indicates which type of discontinuity? a Jump discontinuity b Infinite c Removable 15 What is a removable discontinuity often fixed by? a Reversing function b Deleting point c Defining value at hole 16 Periodicity of f(x) = sin(x) has period: a 2π b 1 c π 17 The inverse of f(x) = x^3 is: a f^{-1}(x) = x^3 b f^{-1}(x) = ∛x c f^{-1}(x) = x 18 What is the graph of y = \|x\| called? a Absolute value function b Quadratic function c Exponential function 19 Which graph type represents a function’s rate of change? a Discontinuity graph b Integral graph c Derivative graph 20 If a function is not onto, it is not what? a Surjective b Bijective c Injective 21 Which is true for a function and its inverse graph? a They are identical b They are reflections over y = x c Reflections over y = -x 22 For a function to be invertible, it must be: a Non-surjective b Non-injective c Bijective or at least injective on domain 23 Graphically, a function and its inverse swap which coordinates? a x and z b y and z c x and y 24 Which property ensures a function has exactly one output per input? a Ambiguity b Multivaluedness c Single-valuedness 25 What is the inverse of the function f(x) = 1/x? a f^{-1}(x) = x b f^{-1}(x) = -x c f^{-1}(x) = 1/x 26 What type of graph shows a function with a break or gap? a Linear graph b Discontinuous graph c Continuous graph 27 Which representation is not a valid function representation? a A table with two rows for input 3 b A graph of y = x^2 c A list of pairs (1,2), (2,4) 28 Periodic function repeats its values after a: a Period b Amplitude c Frequency 29 Which would NOT be a function from x to y? a Relation mapping x to two y-values b One-to-one mapping c Single y for each x 30 Given f(x) = x^2, f is: a Bijective on all reals b Injective on all reals c Not injective on all reals 31 The inverse of an injective function is: a Another function b An array c Not a function 32 Which concept describes a function’s output repeating over intervals? a Periodicity b Continuity c Discontinuity 33 What is the graph of a bijection like? a Many-to-one mapping b Non-functional c One-to-one correspondence 34 If f is continuous at a, then f: a Is unbroken around a b Is undefined at a c Has a jump at a 35 Which is true about the inverse function graph? a Scaled by 2 b Reflected across y=x c Rotated 90° 36 Which is a necessary condition for a function to be invertible on its domain? a Discontinuous b Surjective c Injective 37 The graph of y = f(x) and its inverse intersect where? a At the origin only b Never c Along the line y = x 38 What is the inverse of f(x)=2x+1 on all reals? a f^{-1}(x)=2x+1 b f^{-1}(x)=x/2+1 c f^{-1}(x)=(x-1)/2 39 Which function has a horizontal line test failing? a Injective function b Non-injective function c Bijective function 40 Continuity at a point requires: a Limit does not exist b Value is infinite c Limit equals function value 41 What is the inverse of f(x) = x^3? a f^{-1}(x) = x^2 b f^{-1}(x) = ∛x c f^{-1}(x) = x^3 42 If f(a) = b and g(b) = a, what is g∘f(a)? a a b f(a) c b 43 Which describes a function that is onto and one-to-one? a Injective b Bijective c Surjective 44 What does a graph with breaks indicate about continuity? a Limit b Discontinuity c Continuity 45 The inverse of a horizontal line is: a Not a function b A line c A parabola 46 Is f(x)=e^x injective on all real numbers? a Yes b Only on positives c No 47 If a function is bijective, its inverse is: a Non-invertible b Non-functional c Bijective 48 Which graph shows a function with a unique y for each x? a No y-values b Two y-values per x c A valid function graph 49 What does the horizontal line test determine? a If a function is injective b If surjective c If continuous 50 Period of f(x)=cos(x) is: a π b 4π c 2π

Relations & Functions II(Lowersixth Science Mathematics)

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Relations & Functions II(Lowersixth Science Mathematics)Version en ligne

par YAKILI LMS

What represents a function graphically as a curved or straight line showing input-output pairs?

If f(x) = 2x, what is the inverse function f^{-1}(y)?

What is the key property of a function in relation to inputs and outputs?

A relation with both many-to-one and one-to-one parts is called what?

What term describes a function’s output pattern repeating over intervals?

Which property means every y-value has at least one x-image?

Which property means each y-value has at most one x-image?

A one-to-one mapping is also called what?

What describes a function that passes the horizontal line test?

Which mapping has both injective and surjective properties?

If a function is bijective, its inverse is what type of function?

What does a continuous function graph look like without breaks?

Discontinuity where a function has a hole in the graph is called what?

A jump in the graph indicates which type of discontinuity?

What is a removable discontinuity often fixed by?

Periodicity of f(x) = sin(x) has period:

The inverse of f(x) = x^3 is:

What is the graph of y = |x| called?

Which graph type represents a function’s rate of change?

If a function is not onto, it is not what?

Which is true for a function and its inverse graph?

For a function to be invertible, it must be:

Graphically, a function and its inverse swap which coordinates?

Which property ensures a function has exactly one output per input?

What is the inverse of the function f(x) = 1/x?

What type of graph shows a function with a break or gap?

Which representation is not a valid function representation?

Periodic function repeats its values after a:

Which would NOT be a function from x to y?

Given f(x) = x^2, f is:

The inverse of an injective function is:

Which concept describes a function’s output repeating over intervals?

What is the graph of a bijection like?

If f is continuous at a, then f:

Which is true about the inverse function graph?

Which is a necessary condition for a function to be invertible on its domain?

The graph of y = f(x) and its inverse intersect where?

What is the inverse of f(x)=2x+1 on all reals?

Which function has a horizontal line test failing?

Continuity at a point requires:

What is the inverse of f(x) = x^3?

If f(a) = b and g(b) = a, what is g∘f(a)?

Which describes a function that is onto and one-to-one?

What does a graph with breaks indicate about continuity?

The inverse of a horizontal line is:

Is f(x)=e^x injective on all real numbers?

If a function is bijective, its inverse is:

Which graph shows a function with a unique y for each x?

What does the horizontal line test determine?

Period of f(x)=cos(x) is: