Is the following relation a function? xy 1 −2 1 −3 2 1 3 −2

The given relation is not a function.

Step-by-step explanation:

A relation is called a function if there exist a unique value of y for each value of x.

The given table is

x         y

1        -2

1        -3

2        1

3        -2

From this table it is clear that we have two values of y at x=1.

One value of y at x=1 is -2 and the second value of y at x=1 is -3.

Since the given relation has more than one value of y for x=1, therefore the given relation is not a function.

x = central angle apc = measure of minor arc ac

the two angles x and 30 add to 180, so x+30 = 180 and x = 180-30 = 150. the measure of minor arc ac is 150 degrees.

what we need to do from here is find the circumference and then multiply it by x/360 since there are 360 degrees in a circle. in this case, x = 150, so x/360 = 150/360 = 15/36 = 5/12. the shortest distance along the curve from a to c is 5/12 of the distance around the entire circle (aka circumference)

c = circumference

c = pi*d

c = pi*24

c = 24pi

now multiply this by 5/12 to get

distance along minor arc ac = (5/12)*(circumference)

distance along minor arc ac = (5/12)*(24pi)

distance along minor arc ac = 10pi

the formula you can use is

l = (x/360)*pi*d

with

l = length of minor arc

x = central angle

d = diameter

which essentially is the steps we took though a bit differently.

nswer: a   y-axis

step-by-step explanation: