TS EAPCET (Engineering) Function (mathematics) — practice questions
69 free MCQs with worked solutions. Tap any question for the answer + explanation, or practice them all in the app.
Practice TS EAPCET (Engineering) Function (mathematics) in the app →In a function f from X to Y, the set X of allowed inputs is called the what?For a function f: X to Y, what is the set Y called?Which name is given to the function x maps to x squared?What does the arrow symbol in x maps to y (written with a bar-tailed arrow) express?Which of these is another word sometimes used for a function?What is the natural domain of f(x) = 1/(x - 3) over the real numbers?Over the reals, which set is the domain of f(x) = sqrt(x - 4)?In the composition g after f, written g(f(x)), which function acts first?If f(x) = x^2 and g(x) = x + 1, find g(f(3)).Take f(x) = x^2 and g(x) = x + 1. What is f(g(1))?Which statement about composing two functions f and g is correct?When is the composition of f followed by g defined?Which function sends every element of a set X to itself?How many functions exist from the empty set to any given set X?Which property does an empty function always possess?The inclusion map of a subset A into a set X is always which kind of function?A function taking different inputs to different outputs is called what?Which other name is used for an injective function?A function that is both injective and surjective is called what?A function admits a two-sided inverse function exactly when it is what?The map f(x) = 2x + 3 from the reals to the reals is which type?Which of these maps from the reals to the reals is a bijection?The natural logarithm is a bijection from the positive reals onto which set?What is the inverse of the natural logarithm function called?Restricting cosine to [0, pi] gives a bijection onto which interval?How are inverse trigonometric functions obtained?Which of these is a polynomial function of x?Allowing nth roots and roots of polynomials in a formula gives which class?Allowing logarithms and exponential functions as well gives which class?If f sends every integer to 0, what is the preimage of 0?For a function, how many codomain elements can f(x) be for one input x?If f is a restriction of g, then g is called what with respect to f?Analytic continuation is an example of which operation on a function?A partial function from X to Y is defined on what?A partial function whose domain of definition equals X is called what?Multiplication of integers is a function of how many variables?The domain of a function of n variables is a set of what?A real function's pair (x, f(x)) is shown in the plane as a what?A quadratic function drawn in Cartesian coordinates gives which curve?Functions whose domain is the nonnegative integers are known as what?Which function equals its own derivative and has value 1 at x = 0?The natural logarithm is the antiderivative of 1/x that is 0 at which x?For x^2 + y^2 = 1 with -1 < x < 1, how many real y values fit each x?A function can be defined just by listing values when its domain is what?Which group coined injective, surjective and bijective as French words?A real function has which set as its codomain?A rule sends x to 3x - 2. What value does it give at x = 4?For f(x) = x^2 - 5x + 6, find the value of f(-1).With f(x) = 2x + 1 and g(x) = x^2, compute f(g(2)).Which expression equals f(g(x)) when f(x) = x^2 and g(x) = x + 1?Find the inverse of f(x) = 2x - 6.If f(x) = 3x + 1 is invertible, what is the value of f inverse at 7?How many functions map a 3-element set into a 2-element set?How many injective functions go from a 2-element set to a 4-element set?Which real numbers are excluded from the domain of f(x) = 1/(x^2 - 4)?What is the preimage of 4 under f(x) = x^2 on the reals?Restricting x squared to which domain makes it injective?A bijection from a 5-element set X onto a set Y implies Y has how many elements?For f from X to Y, what does f composed with the identity on X equal?If h(g(f(x))) is formed, how may the brackets be grouped?When an invertible f is given, how many inverse functions can it have?A function is invertible exactly when it has which property?For an invertible f with domain X and codomain Y, f inverse has which domain?A function equal to its own inverse is called what?Which function on a set X is its own inverse?How is the inverse of g after f obtained?For f(x) = 3x and g(x) = x + 5, g(f(x)) is 3x + 5. What is its inverse?Why is f(x) = x squared from the reals to [0, infinity) not invertible?What is the inverse of x squared on nonnegative reals called?