1. Which of the following are functions? Explain your reasoning for a, b, and c.
a. f(x) = 2 if x>1
f(x) = -1 otherwise
b. f(x) = 5 if x>0
f(x) = -5 if x<0
f(x) = 5 or -5 if x = 0
c. f(x) = 10/x
2007-02-05 04:38:27 · 4 answers · asked by Adam B 1 in Science & Mathematics ➔ Mathematics
a. It is a function because for every x you can compute f(x). True, it is not a CONTINUOUS function, but it is a function nevertheless;
b. f(x) is undefined for x=0. Not a function.
c. function, discontinuous at x=0 (jumps from minus infinity to plus infinity)
2007-02-05 04:56:22 · answer #1 · answered by WoodyBretton 3 · 0⤊ 0⤋
all of your examples (a, b and c) are functions. a function is like a box that gives you a result (or results) when you put in something we might call input. by the way, none of the functions you define are continuous functions. continuous functions are functions that behave according to certain rules and the functions that you have defined do not obey those rules.
2007-02-05 12:53:36 · answer #2 · answered by michaell 6 · 0⤊ 0⤋
In math, a "function" is anything where you put in a number (or sometimes several numbers), and get back a number (or several numbers).
So these are all function. You plug in the value of 'x', and get back a number.
2007-02-05 12:43:01 · answer #3 · answered by morningfoxnorth 6 · 0⤊ 0⤋
a - NOT (step function- not smooth curve)
b - NOT (x=0 has two possible results)
c - yes
2007-02-05 12:45:36 · answer #4 · answered by Grant d 4 · 0⤊ 0⤋