Functions and Relations

Froggy Jumps

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Test your knowledge on relations and functions in mathematics!

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Jasmine Panyo

Philippines

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Function : Lvl 1

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Functions and Relations


Froggy Jumps Functions and RelationsOnline version Test your knowledge on relations and functions in mathematics! by Jasmine Panyo 1 f(x) = -2x + 5, the value of f(-2) + f(-3) = .... a 18 b 19 c 20 2 f(x) = -2x + 5, the value of f(-1) - f(4) = .... a -10 b 10 c 5 3 f(x) = 2x - 5, the value of f(4) - f(0) = .... a 7 b 8 c 9 4 f(x) = 2x - 5, the value of f(0) - f(1) = .... a -1 b -2 c -3 5 f(x) = 2x - x, the value of f(0) + f(1) = .... a 1 b 2 c 3 6 f(x) = 2x - x, the value of f(1) + f(2) = .... a 1 b 2 c 3 7 f(x)=-x^2 + 1, the value of f(1) + f(2) = .... a -3 b -2 c -1 8 f(x)=-x^2 + 1, the value of f(0) + f(-1) = .... a 2 b 1 c 0 9 f(x)=x^2-x, the value of f(0) + f(-1) = .... a 2 b 3 c 4 10 f(x)=x^2-x, the value of f(3) + f(-1) = .... a 7 b 8 c 9 11 f(x)=x^2-x, the value of f(3) - f(-1) = .... a 4 b 6 c 8 12 f(x)=5-x, the value of f(-1) + f(1) = ... a 10 b 9 c 8 13 f(x)=5-x, the value of f(-1) - f(1) = ... a 2 b 3 c 4 14 f(x)=5-x, the value of f(6) - f(5) = ... a -1 b -2 c -3 15 f(x)=5-x, the value of f(5) - f(6) = ... a 3 b 2 c 1 16 f(x)=5-x, the value of f(-5) - f(0) = ... a 4 b 5 c 6 17 f(x)=5-x, the value of f(-10) - f(1) = ... a 12 b 11 c 10 18 f(x)=5-x, the value of f(-10) - f(-1) = ... a 9 b 10 c 11 19 f(x)=5-x, the value of f(-1) + f(-1) = a 12 b 11 c 10 20 f(x)=-x+10, the value of f(-1) - f(-2) = a -3 b -2 c -1 21 f(x)=-3x+1, the value of f(-5) - f(2) = a 20 b 21 c 22 22 f(x)=-3x+1, the value of f(-2) - f(-1) = a 1 b 2 c 3 23 f(x)=-2x, the value of f(-2) - f(1) = a 4 b 5 c 6 24 f(x)=-2x, the value of f(3) - f(1) = a -4 b -5 c -6 25 f(x)=-2x, the value of f(-3) + f(1) = a 4 b 5 c 6 26 What defines a relation as a function? a Each input has exactly one output b There are no outputs at all c Each input can have multiple outputs 27 What does the vertical line test check? a If any line crosses the graph more than once, not a function b If the graph is symmetric about the y-axis c If the graph is continuous 28 Domain of f(x)=sqrt(x-1)? a x ≥ 0 b x > 0 c x ≥ 1 29 Range of f(x)=x^2? a y ≥ 0 b all real numbers c y ≤ 0 30 Is f(x)=1/x a function? a Yes, domain excludes 0 b No, it’s not defined anywhere c Yes, but it includes 0 31 What is a one-to-one function? a Each output comes from exactly one input b Every input has multiple outputs c Two inputs map to the same output 32 Define composition (f ∘ g)(x). a f + g b g(f(x)) c f(g(x)) 33 When does an inverse function exist? a If the domain is all real numbers b If the function is one-to-one c If the function is constant 34 Compute f(4) for f(x)=2x+3. a 11 b 7 c 12 35 Relation vs function: a function is a relation with what property? a No outputs at all b Unique output for each input c Infinite outputs for inputs 36 What is a relation in mathematics? a A set of ordered pairs where each pair relates two elements b A single pair of numbers c A function that assigns identical outputs 37 What defines a function? a Multiple outputs for a single input b No output for any input c Each input has exactly one output 38 Domain and codomain: what is the domain? a The specific output for a given input b Set of all possible inputs c Set of all possible outputs 39 What does f: A → B denote? a A and B are the same set b A maps elements of A to elements of B c B maps to A 40 Can two different inputs map to the same output in a function? a Yes, a function can be many-to-one b Only if the codomain is infinite c No, only one input per output 41 What is an injective function? a Outputs are always unique regardless of input b Multiple inputs share the same output c Distinct inputs map to distinct outputs 42 What is a surjective function? a Inputs have multiple outputs b Every element of the codomain has a preimage c Only some outputs occur 43 Is the relation {(1,2),(1,3)} a function from {1} to {2,3}? a Yes, it maps to a single output b Yes, it is a valid function c No, because 1 maps to two outputs 44 What is the composition of functions g∘f defined as? a Add outputs of f and g b Apply g first, then f c Apply f first, then g to the result

Functions and Relations

Froggy Jumps

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Functions and RelationsOnline version

by Jasmine Panyo

f(x) = -2x + 5, the value of f(-2) + f(-3) = ....

f(x) = -2x + 5, the value of f(-1) - f(4) = ....

f(x) = 2x - 5, the value of f(4) - f(0) = ....

f(x) = 2x - 5, the value of f(0) - f(1) = ....

f(x) = 2x - x, the value of f(0) + f(1) = ....

f(x) = 2x - x, the value of f(1) + f(2) = ....

f(x)=-x^2 + 1, the value of f(1) + f(2) = ....

f(x)=-x^2 + 1, the value of f(0) + f(-1) = ....

f(x)=x^2-x, the value of f(0) + f(-1) = ....

f(x)=x^2-x, the value of f(3) + f(-1) = ....

f(x)=x^2-x, the value of f(3) - f(-1) = ....

f(x)=5-x, the value of f(-1) + f(1) = ...

f(x)=5-x, the value of f(-1) - f(1) = ...

f(x)=5-x, the value of f(6) - f(5) = ...

f(x)=5-x, the value of f(5) - f(6) = ...

f(x)=5-x, the value of f(-5) - f(0) = ...

f(x)=5-x, the value of f(-10) - f(1) = ...

f(x)=5-x, the value of f(-10) - f(-1) = ...

f(x)=5-x, the value of f(-1) + f(-1) =

f(x)=-x+10, the value of f(-1) - f(-2) =

f(x)=-3x+1, the value of f(-5) - f(2) =

f(x)=-3x+1, the value of f(-2) - f(-1) =

f(x)=-2x, the value of f(-2) - f(1) =

f(x)=-2x, the value of f(3) - f(1) =

f(x)=-2x, the value of f(-3) + f(1) =

What defines a relation as a function?

What does the vertical line test check?

Domain of f(x)=sqrt(x-1)?

Range of f(x)=x^2?

Is f(x)=1/x a function?

What is a one-to-one function?

Define composition (f ∘ g)(x).

When does an inverse function exist?

Compute f(4) for f(x)=2x+3.

Relation vs function: a function is a relation with what property?

What is a relation in mathematics?

What defines a function?

Domain and codomain: what is the domain?

What does f: A → B denote?

Can two different inputs map to the same output in a function?

What is an injective function?

What is a surjective function?

Is the relation {(1,2),(1,3)} a function from {1} to {2,3}?

What is the composition of functions g∘f defined as?