The entire graph of the function g is shown in the figure below. Write the domain and range of g as intervals or unions of intervals.

D = {-5 ≤ x ≤ -2  or  1 ≤ x < 5}

Step-by-step explanation:

When we have a function f(x) = y, the domain is defined as all the possible values of x that the function maps into other values.

In our graph, we can see two curves.

The first one (the one at the left)

Has two black dots, one at x = -5, and other at x = -2

(black dots means that the value is included, white dots means that the value is not included)

So this first part of the domain is:

-5 ≤ x ≤ -2.

Now, the second part has a black dot in x = 1, and a white dot in x = 5, so we can write this part of the domain like:

1 ≤ x < 5

Then the domain of our function is:

D = {-5 ≤ x ≤ -2  or  1 ≤ x < 5}

step-by-step explanation: so we look at the formula un = a + (n-1)d

un is the amount of seats

n is the nth term aka row number

a is the original sequence/row number

d is the difference between each term

so in this a=22 d=6 and n can remain as n because we are simply formjng a rule

lets put these in the equation

un=22+(n-1)(6)

this is your answer to part a

however

lets double check that this is correct, we'll try putting it into the second term

un=a+(n-1)d

u2=22+(2-1)(6)

u2=22+6

u2=28

as the question said the second row has 28 seats so now we know the formula we made is correct.

as for part b

un=a+(n-1)

its asking us to find a row with 100 seats.

remember un was the amount of seata so all we do is substitute this in.

un=100 a=22 d=6

un=a+(n-1)d

100=22+(n-1)(6)

so now we simplify to find n which is the row number.

100-22=22+(n-1)(6)-22

78=(n-1)(6)

78/6=(n-1)(6)/6

13=n-1

13+1=n-1+1

14=n

so now we know that in the 14th row there is 100 seats.

hope this and that you understood! its my first time using the app or anyone out on here : p its also me to revise so a bunch! ask more questions if you dont understand ☺