There are several groups of numbers natural number are counting number,,1,2,3,4,5,6.. whole numbers include 0 as well integers means negative and positive numbers not including decimals =-6,-5,-4,-3,-2,-1,0,1,2,3,4,5... so prime number is a number that cannot be factored out using integers. basically a number that the only factors are 1 and itself exg 3 is prime becuase 3=3 times 1 4 is not prime becuase 2 times 2 is 4 7 is prime becuase the only factors are 1 and 7
negative numbers are numbers less than zero a negative number is like -1,-2,-3,-4,-5,-6,-7,-8,-9,-10... when added, it's like subtraction exg add 3 and -2 together=3+(-2)=3-2=1
Alright so lets start with prime numbers. A prime number is a number that can only be divided evenly by 1 and itself. For example, 7 is a prime number it can only be divided by itself and 1, if it's divided by anything other than 1 and itself, the answer will be a decimal number. 4 is not a prime, because it can be divided by 2.
Now onto negative numbers. Normal numbers exist on a line, starting with 0, all numbers to the left of it are positive, like 1, 2, 3, 4,... , but to the right of zero are the negative numbers ...-4, -3, -2, -1. Negative numbers are the opposite of positive numbers, so that means the larger the number looks, the smaller the quantity is, so -20 is actually smaller than -10. Think of it like this, would you rather owe someone 20 dollars or 10 dollars? A number line with positive and negative numbers would look like .....-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5,........ Notice how the negative numbers count down from left to right, this is because the greater numbers on the number line are to the right and as I said before, the smaller a negative looks, the greater it actually is. I hope all that helped.
Notice that the indepedent variable doesn't have any transformation, that means the period doesn't change. In other words, this function has the same period than its parent function which is .
Therefore, the answer is A.
The image attached shows the graph of this function, there you can observe the period of the function.
Also, notice that this function is verticall stretched by a scale of 2, which doesn't change its original period.