Answer:
Consider f: N → N defined by f(0)=0 and f(n)=n-1 for all n>0.
Step-by-step explanation:
First we will prove that f is surjective. Let y∈N be any natural number. Define x as the number x=y+1. Then x∈N, and f(x)=x-1=(y+1)-1=y. We conclude that f is surjective.
However, f is not injective. Take x1=0 and x2=1. Then x1≠x2 but f(x1)=0 and f(x2)=x2-1=1-1=0. We have shown that there are two natural numbers x1,x2 such that x1≠x2 but f(x1)=f(x2), that is, f is not injective.
Note:
If 0∉N in your definition of natural numbers, the same reasoning works with the function f: N → N defined by f(1)=1 and f(n)=n-1 for all n>1. The only difference is that you consider x1=1, x2=2 for the injectivity.
It is Wednesday as it has the highest fraction of homework i.e
Monday has 0.7 of homework for her classes
Tuesday has 0.6
Wednesday has 0.81
Thursday has 0.5.
Therefore it has to be Wednesday.
Hope this helps :).
Answer:
$115.36
Step-by-step explanation:
Given data
P=$103
r=1.9%
t= 6 years
The expression for the amount is given as
substitute
Hence the final amount is $115.36
I think it would be 14.2 and 8.8
Answer:
It is a linear function because the degree is 1. The function is also neither odd nor even.
