For this case we must find the domain of the following function:
By definition, the domain of a function is given by all the values for which the function is defined.
In this case, the argument of the expression must be greater than 0 to be defined.
Thus, the domain of the function is given by all the values of x greater than -2.
Answer:
Domain:
Answer:
Gail will need 12 yards of white fur, 8 yards of blue striped and 2 yards of the pink felt.
Step-by-step explanation:
We are given that,
The amount of yards for making one costume of different fabrics are,
White fur fabric = =
yards
Blue striped fabric = 1 yard
Pink felt for ears = yards.
So, we have,
The amount required to make 8 costumes are,
White fur fabric = = 3×4 = 12 yards
Blue striped fabric = 1×8 = 8 yards
Pink felt for ears = = 2 yards.
Thus, Gail will need 12 yards of white fur, 8 yards of blue striped and 2 yards of the pink felt.
Given:
The parent absolute function is
To find:
The new function if the parent function is translated up by 5 units and vertically stretched by a factor of 3.
Solution:
The translation is defined as
.... (1)
Where, k is stretch factor, a is horizontal shift and b is vertical shift.
If 0<k<1, then the graph compressed vertically by factor k and if k>1, then the graph stretch vertically by factor k.
If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.
If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
Parent function is translated up by 5 units. So, b=5
It is vertically stretched by a factor of 3. So, k=3.
There is no horizontal shift. So, a=0.
Now, putting k=3, a=0 and b=5 in (1), we get
Therefore, the correct option is D.