Answer: 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)