Answer:
Step-by-step explanation:
Recall the following. Given a function f we say that
f is one to one if for x,y in the domain of f and f(x)=f(y) then x=y.
This means that there are no different elements in the domain of the function that are linked to the same value.
f is onto if for every y in the codomain of f, then there is an element x in the domain of f such that f(x) = y. That is, given an element y in the codomain of f, there exists and element in the domain that is linked to y.
a)
f(a) =b, f(b)=a, f(c) = c, f(d) = d. Note that this function links each element in {a,b,c,d} to different elements in {a,b,c,d}, so it is a one to one function. Since for every element x in {a,b,c,d} there is an element y in {a,b,c,d} such that f(y) = x, then this function is also onto.
b)
f(a)=b, f(b) = b, f(c) = d, f(d) = c. Note that the elements a,b are linked both to b, so this function fails to be one-to-one. Also, note that the element a has no element x in {a,b,c,d} such that f(x) = a, so this function fails to be onto.
c)
f(a) = d, f(b) = b, f(c) = c, f(d) = d.
As in b), since a and d are linked to d, then this function is not one to one. Also, since the element a has no element x in {a,b,c,d} such that f(x) = a, then it also fails to be onto.
. first you want to multiply 60 by 220, then divide the product by 165. 60 times 220 is 13,200. Now divide 13,200 by 165. This will give you 80. Todd has to eat 80 grams of protein each day to stay healthy.
