Identify the domain and range of the function. Enter your answers as numbers in the boxes; do not include units. Enter the range values in ascending order separated by commas. Age Admission Price under 5 free 5–17 $25 18–64 $40 65 and over $35 What is the domain?

Given that:

The tables values which represents Age and Admission Price is

   Age           Admission Price

under 5                free

  5–17                   $25

18–64                   $40

65 and over          $35

To find:

Domain and range of the function.

Solution:

Domain is the set of input values.

Here, domain is age because age is an independent variable.

Age cannot be negative, so

Therefore, the domain is all number greater than or equal to 0.

Range is the set of input values.

Here, range is Admission Price because Admission Price is a dependent variable.

Admission Prices are free (i.e., 0), $25, $40 and $35. So

Therefore, range is {0,25,35,40}.

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

2 apples

step-by-step explanation:

taking away equals subtraction. 6-4=2