In each case below, say whether the indicated function is one-to-one and what its range is. a. m: N N defined by m(x) = min(x, 2) b. M: N N defined by M(x) = max(x, 2) c. s: N N defined by s(x) = m(x) + M(x) d. f:N-(0}2N, where f (n) is the set of prime factors of n e. (Here A is the set of all finite sets of primes and B is the set N- (0}.) Let g: A – B, where g(S) is the product of the elements of S. (The product of the elements of the empty set is 1.)

In each case below, say whether the indicated function is one-to-one and what its range is. a. m: N N defined by m(x) = min(x, 2) b. M: N N defined by M(x) = max(x, 2) c. s: N N defined by s(x) = m(x) + M(x) d. f:N-(0}2N, where f (n) is the set of prime factors of n e. (Here A is the set of all finite sets of primes and B is the set N- (0}.) Let g: A – B, where g(S) is the product of the elements of S. (The product of the elements of the empty set is 1.)

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter3: Functions

Section3.3: More On Functions; Piecewise-defined Functions

Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...

See similar textbooks

Similar questions

If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local extremum offon (a,c) ?
If xis large, which function grows faster, f(x)=2x or g(x)=x2?
Find the average rates of change of f(x)=x2+2x (a) from x1=3 to x2=2 and (b) from x1=2 to x2=0.
Does a Limiting Value Occur? A rocket ship is flying away from Earth at a constant velocity, and it continues on its course indefinitely. Let D(t) denote its distance from Earth after t years of travel. Do you expect that D has a limiting value?
Determine if the statemment is true or false. If the statement is false, then correct it and make it true. If the function f increases on the interval -,x1 and decreases on the interval x1,, then fx1 is a local minimum value.