Amplitude:
we can see that
maximum value is 3
minimum value is -1
so,



Period:
It is time completed after which value repeats itself
so, we get


so,
option-D............Answer
The line drops 3 squares for each one it moves to the right, so the slope is
.. -3/1 = -3
The 1st selection is appropriate.
_____
Given the choices, you can tell at a glance that -3 is the correct one. When it goes down to the right, the slope is negative. when the angle is steep, the slope has a magnitude greater than 1. Of the negative choices offered, {-3, -1/3}, the obvious choice is -3.
A line has a slope of ±1 when it makes a 45° angle with the x- and y-axes. Steeper than that is a slope whose magnitude is greater than 1. Shallower than that, and the slope has a magnitude less than 1.
The succesor of the natural number 2012 is 2013.
Given:
First term of an arithmetic sequence = 5
Second term = 3
To find:
The explicit formula for the given arithmetic sequence.
Solution:
We have,
First term: 
Second term: 
Common difference is



Now, the explicit formula for an arithmetic sequence is

where, a is first term and d is common difference.
Putting a=5 and d=-2, we get

It can also be written as


Here, n is an integer greater than or equal to 1.
Domain is the set of input values.
Therefore, the explicit equation is
or
and domain is all interest greater than or equal to 1.