Ünite Sınavı Soruları

Given that x is a real number and f is given by the rule  , which of the following sets is the largest domain of definition of f ?

1. A correspondence assigning each element of the set A, one and only one element of the set B is called a function from the set A into the set B.
2. In this context, the set A is called the domain or the departure set of the function.
3. In this context, the set B is called the range or terminal set.
4. For a given function f and an element a from its domain A, the element corresponding to a under the rule f is called the image of the element a, and is denoted by f (a).
5. A function defined from the set A to the set B is denoted by   or 

Let A and B be two sets different from the empty set. Which of the statements above regarding to functions are correct?

Assume that the function f(x)=x²-1 is defined over the domain set A={1, 2, 3, 4}. Which of the following is the image set of function f?

Let f:R→R f(x)=x³-x²+5x-12 be given. What is the value of f(5)?

Suppose f(x)= x+2 and g(x)=x². Find f(g(2)).

1. If a rule defining a function is given but the domain has not been specified explicitly, then the largest set which makes the rule meaningful is understood.
2. This set is denoted by D_f for the rule y=f (x) and is called the natural domain of the function.
3. The function given by the rule f(x) =makes sense if its denominator is not zero.
4. For the function given by the rule f(x) =, x–1≠0 should be satisfied.

For the functions f: R→R, f(x)=3x-8 and g: R→R, g(x)=(x+12)/4, what is the value of f(3).g(8)?

Let f : R → R, f (x) = 5x² +10x + 7 given. What is the value of f (-1)?

What is the inverse of function f(x)=(3x-2)/4?

f : R → R, f(x) = x³ + 2. f ^–1(1) = ?

Given that f : R→R, f (x) = 7x - 3 which of the following is f ^–1(x) ?

Which of the following graphs belongs to the function f(x)=x²+4?

Which of the following functions is not one-to-one?

For the functions f: R→R, f(x)=x-1 and g: R→R, g(x)=(x+2)/4, what is the value of (f.g)(3)?

Find the inverse of the function f(x)=(2x-3)/(4x+1).

Given that  which of the following is f ^-1(x)?

Given that f : R→ R, f (x) = 3x + 5 which of the following equals to f^-1 (2)?

f : R → R, f(x) = -x + 3, if x ≤ 4 ; f(x) = -1, if x > 4. 3 f(-2) + 4 f(16) = ?

For the functions f : R→ R , f (x) = 3x - 7 and g : R→ R , g(x) = -x + 3, what is the value of the composition (f ∘ g)(2)=?

How many different functions can be defined from a set of 8 elements to a set of 11 elements?