Fun with Functions

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A quick intro quiz on functions.

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Sonia Thompson

Guyana

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Fun with Functions


Froggy Jumps Fun with FunctionsOnline version A quick intro quiz on functions. by Sonia Thompson 1 What is a function? a A relation that can assign many outputs for an input b A relation that assigns exactly one output to each input c A set of independent variables 2 What is the domain of a function? a The set of all possible inputs b The set of all function names c The set of all possible outputs 3 What does f(x) denote? a The derivative of f with respect to x b The value of the function at x c The input variable for the function 4 If f(x)=2x+1, what is f(3)? a 5 b 7 c 8 5 What is the range of a function? a The set of all function names b The set of all possible outputs c The set of all possible inputs 6 What is the composition of functions (f ∘ g)(x)? a f(g(x)) b f(x) + g(x) c g(f(x)) 7 Is a constant function a function? a Yes, it outputs the same value for all inputs b Only for a single input c No, outputs vary with inputs 8 When does an inverse function exist? a Only if it is constant b Only if it is linear c When the function is bijective 9 What is a linear function form? a f(x) = mx + b b f(x) = a^x + b c f(x) = x^2 + c 10 Given the functions f and g where f(x) = 3x+2 and g(x) = x, what is gf(x) a 3x + 2 b x c 3x^2 + 2x 11 f(g(x)) = g(f(x)) for any two functions f and g. a True b False c 12 What is a function in mathematics? a A rule that maps outputs to inputs b A relation that assigns exactly one output to each input c A relation with any number of outputs per input 13 If f(x) = 2x + 3, what is f(4)? a 8 b 11 c 12 14 Which best describes the domain of a function? a All output values produced by the function b All input values for which the function is defined c Only integer inputs 15 What is the range of f(x) = x^2 for real x? a All real numbers b All positive numbers only c All nonnegative real numbers 16 What does injective (one-to-one) mean? a Different inputs map to different outputs b Outputs determine inputs uniquely but inputs can repeat c Different outputs map to same inputs 17 Which is true about the composition (f ∘ g)(x)? a It adds outputs of f and g b Apply g first, then f to the result c Apply f first, then g to the result 18 If f(x) = 3 and g(x) = x^2, what is (f ∘ g)(2)? a 6 b 4 c 9 19 What is a constant function? a A function with equal domain and codomain b A function with no outputs c A function whose output doesn’t depend on the input 20 Which of the following can be the graph of a function? a A horizontal line touching the graph at multiple x-values b A vertical line crossing the graph at multiple y-values for a single x c A vertical line test result that never intersects the graph more than once at any x 21 What is f(x) = 1/x not defined for? a x = 1 b All x except 0.5 c x = 0

Fun with Functions

Froggy Jumps

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Fun with FunctionsOnline version

by Sonia Thompson

What is a function?

What is the domain of a function?

What does f(x) denote?

If f(x)=2x+1, what is f(3)?

What is the range of a function?

What is the composition of functions (f ∘ g)(x)?

Is a constant function a function?

When does an inverse function exist?

What is a linear function form?

Given the functions f and g where f(x) = 3x+2 and g(x) = x, what is gf(x)

f(g(x)) = g(f(x)) for any two functions f and g.

What is a function in mathematics?

If f(x) = 2x + 3, what is f(4)?

Which best describes the domain of a function?

What is the range of f(x) = x^2 for real x?

What does injective (one-to-one) mean?

Which is true about the composition (f ∘ g)(x)?

If f(x) = 3 and g(x) = x^2, what is (f ∘ g)(2)?

What is a constant function?

Which of the following can be the graph of a function?

What is f(x) = 1/x not defined for?