Answer:
First relation: It's a function. No order pair need to be changed.
Second relation: It's a function. No order pair need to be changed.
Third relation: It's not a function. The ordered pair (5,8) needs to be changed.
Step-by-step explanation:
A function may not have two y-values assigned to the same x-value.
Each x-element of the first relation has only one y-element associated with it. So we conclude that it's a function.
Each x-element of the second relation has only one y-element associated with it. So we conclude that it's a function.
The points (5,8) and (5,2) shows that there are two y-elements (y=8 and y=2) associated with the value x=5. So we conclude that it's not a function.
Answer:
A. y is all real numbers.
Step-by-step explanation:
The range is the possible values that y can take
In this graph y goes from negative infinity to infinity so y can be all real numbers
Answer:
C, F.
Step-by-step explanation:
All angle measures are preserved in a dilation. And if all angle measures are preserved, it makes the triangles similar by the AA similarity theorem.
Answer:
A
Step-by-step explanation:
Start with the 3.
You know that there is a difference of 4 between (say) 2 and 5. The 3 is a sign that the sequence is increasing. The members of the sequence are going up.
n - 1 means that the nth terms is calculated as an and uses the number of terms to be n-1. That means that the first term is a1 which is the starting point of the sequence.
The answer is an = a1 + (n-1)*d
d = 3
a1 = - 7
So let's try the formula out.
a4 = -7 + (4 - 1)*3
a4 = -7 + 3 * 3
a4 = -7 + 9
a4 = 2
Is 2 the 4th term in the series? Yes it is!
Add 4 to the whole equation
-10 + 4 < 2x < 8 + 4
Simplify
-6 < 2x < 12
Divide the whole equation by 2
-6/2 < x < 12/2
Simplify
<u>-3 < x < 6</u>
