Reference no: EM131657581

Coincidence, Inverse of function

Question 1: Graph function y = 3/1-x the symmetrical center is:

A. (3;1)     B. (1;3)      C. (1;0)     D.(0;1)

Question 2: For functions y = x³ - 3x² + 3 determined on [1; 3]. Calling M and m in turn is the greatest value and the smallest value of a function is M + m equal to:

A.2            B. 4            C. 8           D. 6

Question 3: For functions y = x-1/x+2 there is a graph (H). The tangent of (H) at the intersection of (H) with the axis Ox

The equation is:

A. y=3x    B. y=3x-3   C. y=x-3     D. y= 1/3x -1/3

Question 4: For functions y = 2x+3/x +2 there is a graph (C) and a straight line d: y = x + m. For any value of m then d cut (C) at two distinctive points?

A. m<2     B. m>6       C. 2           D. m<2 or m>6

Question 5: Maximum value of the function y = x³ - 3x² - 3x + 2 is:

A. - 3 + 4√2     B. 3 - 4√2   C. 3 + 4√2   D. -3-4√2

Question 6: For functions y = x³ - 3x² + 2x - 1.

Consider the clauses:

I. The graph has a bending point

II. The function has no maximum and minimum

III. The inflection point is the symmetric center of the graph.

Which proposition is true?

A. Only I and II     B. Only II and III     C. Only I and III    D. All three are correct

Question 7: For functions y = 3x - 4x³ has graph (C). The tangential equation of (C) at the inflection point of (C) has the equation as:

A. y = -12x          B. y = 3x           C. y = 3x-2         D. y = 0

Question 8: Which of the following functions does not have extreme value?

A. y = -2x³ + 1   B. y = 2x - 2/ x + 1    C. y = x² + x - 3/ (x + 2)  D. All three are correct

Question 9: Which of the following is the inflection point of the function graph is y = x³ -3x +5

A. (0; 5)    B. (1; 3)       C. (-1; 1)      D. (0; 0)

Question 10: Functions is y = x³ - 3x reach the smallest value on [-2; 2] when x equals:

A.-2 B. 1 C. -1 or -2 D. 1 or -2

Question 11: Which of the following function graphs cut the vertical axis at the point where the pitch is negative?

A. y = -2x + 3/x -1    B. y = 3x + 4/x -1   C. y = 4x + 1/ x +1   D. y = 2x - 3 / 3x - 1

Question 12: For functions y = x³ + 6x² + 3 (m + 2) x - m - 6 is the maximum, minimum at x₁, x² stars for x₁ < -1 < x₂ then the value of m is:

A. m> 1 B. m <1 C. m> -1 D. m <-1

Question 13: For a function y = 3x + 2/x +2 there is a graph (C). The points (C), where the tangent has a slope of 4 with coordinates:

A. (-1; -1) and (-3; 7)                          B. (1; -1) and (3; -7)

C. (1; 1) and (3; 7)                             D. (-1; 1) and (-3; -7)

Question 14: What is the characteristic of the tertiary function graph?

A. Always have the axis of symmetry

B. Get a straight line connecting the two extremes to the axis of symmetry

C. There is always symmetry

D. Always receive the extremes of the center of symmetry

Question 15: In the following functions, which function has the smallest value defined?

A. y = x³ -3x² -6   B. y = x⁴ -3x² -1

C. y = 2x +1/x-1   D. y = x2+3x +5/(x -1)