Which table shows a function that is decreasing over the interval (−2, 0)? image for option 1 image for option 2 image for option 3

Answer : Image 3

Which table shows a function that is decreasing over the interval (−2, 0)?

We look at the interval -2 to 0 on x

In option 1 table , f(x) is 0 then -5 and then becomes 0

It means -2 to -1 , f(x) decreases but from -1 to 0 y values increases

In option 2 table , f(x) is increasing from -15 to -5

In option 3 table, f(x) values goes on decreasing over the interval -2 to 0

So , option 3 table shows a function that is decreasing over the interval (−2, 0)

Table 3  shows that f(x) decreases in the interval (-2,0)

Step-by-step explanation:

Decreasing function: A decreasing function is a function that decreases continuously for a given interval of values

If we see the interval (-2.0) in the first image

the value of f(x) decreases from 0 to -5 and then increases to 0

So it is not decreasing continuously over the interval

For the second image in the interval (-2,0) the value of f(x) increases from -15 to -5 but decreases to -20

So it is also not decreasing continuously for the given interval

For the third image

At x=-2, f(x)= 0

At x=-1, f(x)= -10

At x=0,  f(x)=-24

Here the value of f(x) is continuously decreasing over the interval (-2,0)

Hence table 3 shows that the function is decreasing continuously over (-2,0)

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 ☺

answer: 0.26

i used the calculator on google