The relation q is described as a list of ordered pairs, shown below. q = { (-2, 4), (0, 2), (-1, 3), (4, -2) whats the domain and range?

Domain: {-2,0,-1,4}

Range: {4,2,3,-2}

Step-by-step explanation:

1. Given the The relation Q={ (-2, 4), (0, 2), (-1, 3), (4, -2)}, you can determine the domain and the range as following:

DOMAIN:

The domain is the x-coordinate of each ordered pair. Therefore, you have:

Domain: {-2,0,-1,4}

RANGE:

The range is the y-coordinate of each ordered pair. Therefore, you have:

Range: {4,2,3,-2}

the value of v.w= -12.

step-by-step explanation:

we are given three vector r,v and w as:

r = < 5, -5, -2> ; v = < 2, -8, -8> ; w = < -2, 6, -5>

we know that r,v and w could also be represented as:

r=5i-5j-2k

v=2i-8j-8k

and w= -2i+6j-5k

where i,j and k are the unit vectors of x,y and z-axis respectively.

also we know that it has the following property:

i.i=1 ; j.j=1; k.k=1

and i.=j.i=i.k=k.i=j.k=k.j=0

i.e. when we multiply two vectors or we find it's dot product we need to only multiply the components of x coordinates with each other; y with each other and z with each other.

hence, v.w= (2i-8j- -2i+6j-5k)

                  = 2×(-2)+(-8)×(6)+(-8)×(-5)

                  = -4-48+40

                  = -12

hence, v.w= -12

answer: 0.64

step-by-step explanation: