The domain of the function is [-4, 4) and the range of the function is [-5, 2)
<h3>How to determine the domain and the range of the function?</h3>
<u>The domain</u>
As a general rule, it should be noted that the domain of a function is the set of input values or independent values the function can take.
This means that the domain is the set of x values
From the graph, we have the following intervals on the x-axis
x = -4 (closed circle)
x =4 (open circle)
This means that the domain of the function is [-4, 4)
<u>The range</u>
As a general rule, it should be noted that the range of a function is the set of output values or dependent values the function can produce.
This means that the range is the set of y values
From the graph, we have the following intervals on the y-axis
y = -5 (closed circle)
y = 2 (open circle)
This means that the range of the function is [-5, 2)
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Answer:
1244 Pounds 2 Ounces
Step-by-step explanation:
1 pound = 16 ounces
4 divides into 4976 evently
Answer:1st one 2nd one and 8th
Step-by-step explanation:
Answer:
(0,-1),(1,0),(2,1),(3,2)
Step-by-step explanation:
We are given that a relation
y=x+1y=x+1
We have to find the four points contained in the inverse
The given function is linear function
Therefore,
Domain of function=R
Range of function=R
x=y-1x=y−1
Now, replace x by y and y replace by x
y=x-1y=x−1
Now, substitute y=f^{-1}(x)=f
−1
(x)
f^{-1}(x)=x-1f
−1
(x)=x−1
It is linear function and defined for all real values.
Substitute x=0
f^{-1}(0)=-1f
−1
(0)=−1
Substitute x=1
f^{-1}(1)=1-1=0f
−1
(1)=1−1=0
f^{-1}(2)=2-1=1f
−1
(2)=2−1=1
f^{-1}(3)=3-1=2f
−1
(3)=3−1=2
Therefore, four points contained in the inverse (0,-1),(1,0),(2,1) and (3,2)
Answer:
Step-by-step explanation:
3c + 5w = 16
6c + 2w = 22
-6c - 10w = -32
6c + 2w = 22
-8w = -10
w = 10/8 = 5/4 = $1.25 per lb
3c + 5(1.25) = 16
3c + 6.25 = 16
3c = 9.75
c = $3.25 per lb
