Deneme Sınavı Soruları

                                       3x² + 5,   x < -3               

If f : R - {-3} → R, f (x ) = ⎨-x + 12,   x > -3

then which of the following is the  the value of lim_x→-3⁺   f(x)? 
  

lim_x→∞ (x³ + x² + 1) / (x⁴ + x – 1) = ?

If demand is elastic, which of the followings is correct?

Find the limit of the following function for x=2.

z = f(x, y) is defined implicitly by xz – yz + 3 = 0 ; Which of the following ones below is the equation of the tangent plane to the graph of z = f (x, y) around the point (1, -2, -1) ?

The total cost of A is C (x) = 2.400 + (2 x² − 120 x) / 3 , where x represents the quantity produced. Which of the following is the production quantity that makes the cost minimum ?

Given that f(x,y)=(3lnx+1)/(e^-3x) + (y²x²)/(x+y)

What is the value of the partial derivative of ∂f / ∂y at the point (1,2)=?

The demand function of A is p = -3 x + 3333, and supply function is p = 5 x + 333. For what values of x is there a surplus for A ?

Which of the following is the local minimum point of the function f (x, y) = x² + 2 y² + 2 x + 3 y ?

A car moves along a road in such a way that its position at time t is f(t) = t³ + t² + t (metre). What is the average velocity over the interval [1, 5] equal to?

f(x) = x^-1 + 2 for x < -2 ; f(x) = x^-2 + 2 for x > -2 ; while approaching from the right lim_x→-2 f(x) = ?

Which of the following is the value of 

If  then what is the solution of 

Which power of 4 is between 200 and 300?

Which of the following rational numbers is the biggest?

How many of the following arguments are true if x>0 and y>0.

1. log_a(xy)= log_ax+log_ay,
2. log_a(x/y)= log_ax-log_ay

3. log_a(1/y)= -log_ay
4. log_a(x)^y=y+log_ax

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?

What is the value of ?

Let f :R→R, f (x) = x^-1 and g :R→R, g(x) = 2x -1 be given. What is the value of (f.g)(3) =?