Answer:
You can prove this statement as follows:
Step-by-step explanation:
An odd integer is a number of the form where
. Consider the following cases.
Case 1. If is even we have:
.
If we denote by we have that
.
Case 2. if is odd we have:
.
If we denote by we have that
This result says that the remainder when we divide the square of any odd integer by 8 is 1.
Answer:
Step-by-step explanation:
The given function f(x) is:
And the other given function g(x) is:
g(x) in comparison with f(x) has the next transformation:
1. g(x)=f(bx): g(x)=3(0.1x)+5. This is a horizontal stretch: the x-coordinates will change as:
This is the graph of both functions:
The red-one is f(x) and the blue-one is g(x).
Then for example when the coordinates of f(x) are (1,8) for g(x) the coordinates will be:
Then, the slope of f(x) has a greater value than the slope of g(x), since the change on the x-axis is bigger in the g(x) graph for the.
