Ünite Sınavı Soruları

Functions, which are represented by different formulas on different subsets of its domain are called … functions.

Let f : R → R , f (x)= 2x + 6 and g : R → R g(x)=x²+3 be given. Calculate f / g (-1).

Let the functions m: R→R, m(x)=(3/x)+7 and k: R→R, k(x)=3/(x-2), what is the value of m(k(1))?

f : R → R, f(x) = 2 + 3 x³ ; g : R → R , g(x) = -x + 1. (f ∘ g)(-1) = ?

What is the largest domain of the function f(x) = (2x - 4) / (2x - 10)? 

The functions f : R→ R , f (x) = 2x + 9 and g : R→ R , g(x) = 12 – 3x are given. What is the value of (4f - 3g)(2)?

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

f : R → R, f(x) = 2 + 3 x³ ; g : R → R , g(x) = -x + 1. (g ∘ f)(-1) = ?

What is the inverse of the function f(x)=6x-5 ?

Given the functions f: R→R, f(x)=x-5 and g: R→R, g(x)=2x+9, calculate the value of (fog)(-1)?

f : R → R, f(x) = 2 + 3 x³ ; g : R → R , g(x) = -x + 1. (f . g)(-1) = ?

f : R → R, f(x) = 3 x² – 5. f ^–1(x) = ?

For which of the functions below 1 is element of the natural domain?

The graph of f :R→R is given below. According to this, what is the value of 2f (0) ?

For the functions f :R→R, f (x) = 5x³ and g :R→R, g(x) = x – 1, what is the value of the composition (f ∘g)(1)=?

According to the graph of f(x) is given above, what is the value of f(-4)+3f(5)-2f(3) ?

1. Two real lines intersecting perpendicularly at both their zeros constitute the Cartesian coordinate system.
2. The Cartesian coordinate system is a tool which enables us to view the graphs of functions.
3. In the Cartesian coordinate system, the horizontal real line is called the x-axis, or abscissa,
4. In the Cartesian coordinate system, the vertical real line is called the y-axis, or ordinate.
5. We call the point of intersection of the number lines as the origin in the Cartesian coordinate system.

Which of the statements above regarding to graphs of functions is/are correct?

1. Consider the function . For every x₁, x₂  A if x₁ ≠ x₂ implies f(x₁) ≠ f(x₂) then the function f is called one-to-one (or injective).
2. Given a function  if the image is equal to the range, i.e. f (A)=B the function f is called surjective (onto).
3. If a function which is both one-to-one and onto is called a bijection.
4. Constant function and identity function are the concepts related to types of functions. A function assigning each element from its domain a single element in its range is called a constant function.
5. Given A ≠, a function defined on the set A and assigning every element of A to itself is called the identity function.

Which of the statements above regarding to properties and types of functions is/are correct?

Let  be given. What is the value of f (3)?

Let f :R→R, f (x) = 9x - 1. Which of the following is the value of f ^–1 (16)?