Question

X

-6
-5
-4
-3
-2
-1
0
1

f(x)
34
3
-10
-11
-6
-1
-2
-15

Using only the values given in the table for the function,
f(x), what is the interval of x-values over which the
function is increasing?

(-6, -3)
0 (-3,-1)
O (-3,0)
o(-6, -5)

Answer 1

9514 1404 393

Answer:

(b) (-3, -1)

Explanation:

Differences between adjacent f(x) values are ...

-31, -13, -1, +5, +5, -1, -13

The function is increasing on intervals where the differences are positive: between (-3, -11) and (-1, -1). That is ...

f(x) is increasing on (-3, -1)