Stonybrook University Define Functions F and G from R to R Questions – Question Description
I’m working on a computer science practice test / quiz and need the explanation and answer to help me learn.
Define f: R -> R and g: R -> R by the following formulas: f(x) = |x| for all x ? R, g(x) = (x2)1/2 for all x ? R
Does f == g?
How many functions are there from a set with three elements to a set with four elements?
Define functions f and g from R to R by the formulas:
for all x ? R,
f(x) = 2x
g(x) = (2×3 + 2x)/(x2 + 1)
Show that f == g.
For f(x) = (x+1)/x for all real numbers where x != 0
a) Is this function onto?
b) Is this function one-to-one?
For f(x) = x/(x2 + 1) for all real numbers x
a) Is this function onto?
b) Is this function one-to-one?
How many one-to-one functions are there from a set with three elements to a set with four elements?
How many onto functions are there from a set with three elements tro a set with two elements?.
In a group of 30 people, at least how many must have been born in the same month?
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