1) What is a relation in mathematics? a) A set of ordered pairs b) A collection of real numbers  c) A linear equation d) A set of function 2) Which of the following is NOT a type of relation? a) One-to-one b) Many-to-one c) One-to-many d) One-to-None 3) In a function, each input value corresponds to _______output values(s). a) Exactly one b) Multiple c) None d) Any 4) Which of the following is a necessary condition for a relation to be a function? a) Every input has a unique output b) Every output has a unique input c) Inputs and outputs are the same d) Inputs and outputs are real number 5) If a function passes the vertical line test,it means that. a) It is a linear function b) It is a constant function c) It is a one-to-one function d) It is a many-to-one function 6) Which of the following statements is true about the domain of a function? a) It represent the input values of the function b) It represent the output values of the function c) It represent the intersection of two functions d) It represents the slope of the function 7) What if the range of a function? a) The input values of the function b) The output values of the function  c) The intersection of two functions d) The slope of the function  8) Which of the following functions is NOT a polynomial function? a) f(x)=3x^2+5x-2 b) f(x)=lxl c) f(x)=x^3 d) f(x)=2x+1 9) If f(x) = g(x) for all values of x in their domains, then f(x) and g(x) are: a) Equal functions b) Different functions c) Inverse functions d) Constant functions 10) Which of the following statements is true about composite functions? a) They are obtained by adding two functions together b) They are obtained by multiplying two functions together c) They are obtained by taking the derivative of a function d) They are obtained bye applying one function after another 11) True or false: A relation is a set of ordered pairs. a) True b) False 12) True or False: In a function, each input value is associated with exactly one output value. a) True b) False 13) True or False: A function can have multiple output values for a single input value. a) True b) False 14) True or False: Every vertical line intersects a functions graph at most once. a) True b) False 15) True or False: In a one-to-one function, each output value is associated with exactly one input value. a) True b) False 16) True or False: If a relation is symmetric,it is also a function. a) True b) False 17) True Or False: The domain of a function consits of all possible input values. a) True b) False 18) True or False: The range of a function consits of all possible output values a) True b) False 19) True or False: If two functions have the same domain and range, they are necessarily equal. a) True b) False 20) True or False: A function can have a finite domain but an infinite range. a) True b) False 21) True or False: The composition of two functions is commutative. a) True b) False 22) True or False: An inverse function undoes the effects of the original function. a) True b) False 23) True or False: A function can have more than one inverse. a) True b) False 24) True or False: If the graph of a function passes the horizontal line test, it is one-to-one a) True b) False 25) True or False: Every function can be represented by a mathematical equation. a) True b) False

Relation and Function.

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