12 Basic Functions

Question 1

Nine of the functions have a domain of all real numbers.
(-infinity, +infinity), Which three do not?

Answer 1

Natural Logarithm: f(x) = ln x
Reciprocal: f(x) = 1/x
Square Root: f(x) = √x

Question 2

Which two of the twelve functions have points of discontinuity?

Answer 2

Greatest Integer: f(x) = [[x]] (Jump discontinuity)
Reciprocal: f(x) = 1/x
(Infinite discontinuity)

Question 3

Which three functions are bounded above and/or below?

Answer 3

Sine: f(x) = sin x
Cos: f(x) = cos x
Logistic: 1/1 + e^x