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)

rick has $1400 and sally has $1500

step-by-step explanation:

to find amount of money rick has after 10 years :

principal = $1000 , time = 10 years , rate = 4% annually

to find amount of money sally has after 10 years :

her friend gives to pay her $50 per year, therefore money she has after 10 years = 50 × 10 = $500

also, sally gets $1000 after 10 years,

therefore, total amount of money sally has after 10 years = 500 + 1000 = $1500

so, after 10 years : rick has $1400 and sally has $1500

step-by-step explanation: