Exam

a) An element of the codomain can't be the image under f of two elements of the initial set

b) The relation between the students and their friends is a function

c) An element of the codomain always has to be the image under f of an element of the initial set

d) A relation between real numbers that associates each real number with its square is a function

a) (-∞,1)U(4,∞)

b) R -{1,4}

c) R -{-1,-4}

d) None of them

a) [-2,2]

b)(-∞,-2]U[2,∞)

c) R - {-2,2}

d) [2,∞)

a) is an odd function

b) isn't an even nor an odd function

c) is an even function

d) is an even and an odd function

a) x € {k·90º, k € Z}

b) x € {k·60º, k € Z}

c) x € {k·180º, k € Z}

d) None of them

a) All the relative extrema of a function are absolute extrema

b) All the absolute extrema of a function are relative extrema

c) All functions have absolute extrema

d) None of them

a) x³ + 1

b) 3x + 3

c) x³ + 2x² + x

d) x³ + 3x² + 3x + 1

a)

b)

c)

d) None of them

a) (2,2)

b) (-2,-14)

c) (0,-2)

d) None of them

a) All the exponential functions, f(x) = a^x, pass through the point (0,1)

b) All the logarithmic functions, y = log_ax, pass through the point (1,0)

c) There aren't any trigonometric functions that are even functions

d) The graph of the irrational function f(x) = √x is symmetric to the positive part of the parabola of the function f(x) = x²