Answer:
0.25, 5/8, 11/16
Step-by-step explanation:
1st, make all of them to decimal or fraction (recommended). I will do decimal this time because it's easier. 11/16 = 0.6875; 5/8 = 0.625 . So we can easily get which one is bigger or smaller.
Answer:
The answer is B.
Step-by-step explanation:
The original graph of y = x^2 has a vertex at (0,0)
The formula for graph translations is y = (x-#)^2+#
The number inside the parentheses is a horizontal translation.
So, we are given y = (x-(-3))^2+#
The vertex of the graph moves 3 points left, since the number is negative (-3).
The number at the end of the equation is a vertical translation.
So, we are given y = (x+3)^2+4
The vertex of the graph moves 4 points up, since the number is positive (4).
The new vertex is at (-3,4)
To check for continuity at the edges of each piece, you need to consider the limit as 
approaches the edges. For example,
has two pieces, 
and 
, both of which are continuous by themselves on the provided intervals. In order for 
to be continuous everywhere, we need to have
By definition of , we have 
, and the limits are
The limits match, so is continuous.
For the others: Each of the individual pieces of 
are continuous functions on their domains, so you just need to check the value of each piece at the edge of each subinterval.
-3x+7<11
-3x<4
x>-4/3
So anything less than or equal to -4/3 does not belong to the solution set.
With your update:
"<span>The options is 4,-1,-5,and 0"
-5 does not belong to the solution set...</span>
