Answer:
The range is:
{-4, 1, 2, 5, 8}
Step-by-step explanation:
Given the function
- We know that the domain of a function is the set of input or argument values for which the function is real and defined.
As the domain interval -2 ≤ x ≤ 2
i.e. the values in the domain = {-2, -1, 0, 1, 2}
- We also know that the range of a function is the set of values of the dependent variable for which a function is defined.
As the domain interval -2 ≤ x ≤ 2
Putting all the x-values in the domain interval in the function
so
putting x=-2 in the function
putting x=-1 in the function
putting x=0 in the function
putting x=1 in the function
putting x=2 in the function
Thus, when we put the domain values, the corresponding range values are:
x y
-2 -4
-1 1
0 2
1 5
2 8
Therefore, the range is:
{-4, 1, 2, 5, 8}
1 lb= 16 oz
3/4 of 16=12
therefore Ms. Winn bought 12 oz of grapes
Answer:
61.15702689
Step-by-step explanation:
= 1 / 6 (49/9-14/3) + 27 / 73 / 5 × 33
= 1/6 x 7/9 + 61.02739726
= 61.15702689 = 61.16 (2 d.p.)
. Then the definite integral can be split up at 
so that
![\displaystyle\frac{\mathrm dF}{\mathrm dx}=\frac{\mathrm d}{\mathrm dx}\left[\int_{t=c}^{t=5x}\frac{\mathrm dt}t-\int_{t=c}^{t=2x}\frac{\mathrm dt}t\right]](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Cfrac%7B%5Cmathrm%20dF%7D%7B%5Cmathrm%20dx%7D%3D%5Cfrac%7B%5Cmathrm%20d%7D%7B%5Cmathrm%20dx%7D%5Cleft%5B%5Cint_%7Bt%3Dc%7D%5E%7Bt%3D5x%7D%5Cfrac%7B%5Cmathrm%20dt%7Dt-%5Cint_%7Bt%3Dc%7D%5E%7Bt%3D2x%7D%5Cfrac%7B%5Cmathrm%20dt%7Dt%5Cright%5D)
![=\displaystyle\frac1{5x}\dfrac{\mathrm d}{\mathrm dx}[5x]-\frac1{2x}\dfrac{\mathrm d}{\mathrm dx}[2x]](https://tex.z-dn.net/?f=%3D%5Cdisplaystyle%5Cfrac1%7B5x%7D%5Cdfrac%7B%5Cmathrm%20d%7D%7B%5Cmathrm%20dx%7D%5B5x%5D-%5Cfrac1%7B2x%7D%5Cdfrac%7B%5Cmathrm%20d%7D%7B%5Cmathrm%20dx%7D%5B2x%5D)
, we recover 
and find that
is an arbitrary constant.