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maksim [4K]
3 years ago
9

How do you find the domain and range of a function?

Mathematics
2 answers:
kati45 [8]3 years ago
4 0
Domain is the input and/or x
Range is the output and/or y
So to find the domain you would look for the x axis in a graphed function, the input on a table, or the numbers in a problem that would be on that axis or side of the table. Same for range 
riadik2000 [5.3K]3 years ago
4 0
Domain and range can be found from the graph ...
Domain is the values of x-coordinates and Range are the values of y-coordinates .
FOR EXAMPLE:
(1,6)(8,2)..... 1 and 8 are x-coordiantes and hence DOMAIN.
6 and 2 are y-coordinates and hence RANGE.
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If vectors u,v and w ar linearly indepndnt, will u-v,v-w & u-w also be linearly indpnt? ...?
inna [77]
No they won’t be.Consider the linear combination (1)(u – v) + (1) (v – w) + (-1)(u – w).This will add to 0. But the coefficients aren’t all 0.Therefore, those vectors aren’t linearly independent.
You can try an example of this with (1, 0, 0), (0, 1, 0), and (0, 0, 1), the usual basis vectors of R3.
That method relied on spotting the solution immediately.If you couldn’t see that, then there’s another approach to the problem.
We know that u, v, w are linearly independent vectors.So if au + bv + cw = 0, then a, b, and c are all 0 by definition.
Suppose we wanted to ask whether u – v, v – w, and u – w are linearly independent.Then we’d like to see if there are non-zero coefficients in the linear combinationd(u – v) + e(v – w) + f(u – w) = 0, where d, e, and f are scalars.
Distributing, we get du – dv + ev – ew + fu – fw = 0.Then regrouping by vector: (d + f)u + (-d +e)v + (-e – f)w = 0.
But now we have a linear combo of u, v, and w vectors.Therefore, all the coefficients must be 0.So d + f = 0, -d + e = 0, and –e – f = 0. It turns out that there’s a free variable in this solution.Say you let d be the free variable.Then we see f = -d and e = d.
Then any solution of the form (d, e, f) = (d, d, -d) will make (d + f)u + (-d +e)v + (-e – f)w = 0 a true statement.
Let d = 1 and you get our original solution. You can let d = 2, 3, or anything if you want.

6 0
3 years ago
Please help with math
arlik [135]
1- Stretch
2- Vertex of the Parabola
3- translation
4- Quadratic Function
5- Parent Function
6- Reflection
7- Parabola
8- axis of symmetry 
9- transformation<span> </span>
10-Zeros of Polynomial 
11- compression
12- family of functions
13- system of equations
3 0
3 years ago
The ratio of the weight of Jennifer to that of her friend Laura is 6:11. Laura goes on a diet and loses 12kg and now the ratio o
Inessa05 [86]

Answer:

21kg

Step-by-step explanation:

We will do this.

11x - 12 = 7x

11x - 4x = 7x

4x = 12

4x/4 = 12/4

x = 3

3 x 7 = 21

Laura weighs 21 kg.

3 0
2 years ago
the sum of the digits of a certain two-digits number is 7.Reversing its digits increases the number by 9.What is the number
rusak2 [61]
Unit digit=y
tens digit=x
the number: 10x+y

We suggest this system of equations:
x+y=7
(10y+x)=(10x+y)+9
we solve it by substitution method.
x=7-y
10y+(7-y)=(10(7-y)+y)+9
9y+7=70-10y+y+9
9y+10y-y=70+9-7
18y=72
y=72/18=4

x=7-y
x=7-4=3

number=10x+y=10*3+4=30+4=34

solution: the number: 34

To check:
3+4=7
43=34+9
8 0
3 years ago
Read 2 more answers
Quare cm
Triss [41]
P=32cm
A= 64cm^2

Step by Step

Formula(Perimeter): P=s+s+s+s
S=side P=perimeter
P=8*4
P=32

Formula(Area for Square): A=s^2
A=Area s=side
A=8^2
A=84
3 0
3 years ago
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