On which intervals is the function increasing? indicate intervals on the x-axis using the ray tool for intervals that extend to infinity and the segment tool for bounded intervals. graph a ray by selecting the endpoint followed by a point on the ray. graph a segment by selecting an endpoint followed by the other endpoint.

Refer below

Step-by-step explanation:

A function is said to be increasing if y increases whenever x increases and y decreases whenever x decreases.

A function is decreasing if y increases when x decreases or vice versa.

Hence from the graph we find that when the curve is going up when we move to right the function is increasing otherwise decreasing.

f(x) attains its extreme values at x = -8, -3, 2 and 6

Left of -8 we find f(x) is increasing.

ie.(-infty, -8) increases, (-8,-3)decreases, (-3,2) increases, (2,6) decreases and (6,infty) increases

To consolidate increasing in (-infty, -8)U(-3,2)U(6,infty)

and decreses in (-8,-3)U(2,6)

none of the option is correct.

step-by-step explanation:

it says to find which expression equals 9^3 sqrt 10 = ?

9^3 sqrt 10 = 729 sqrt 10.

checking option a. 5 sqrt 10 + 4 sqrt 10

5 sqrt 10 + 4 sqrt 10

= 9 sqrt 10.

checking option b. 5^3 sqrt 10 + 4^3 sqrt 10

5^3 sqrt 10 + 4^3 sqrt 10

= 125 sqrt 10 + 64 sqrt 10

= 189 sqrt 10.

checking option c. 5 sqrt 10 + 4^3 sqrt 10

5 sqrt 10 + 4^3 sqrt 10

= 5 sqrt 10 + 64 sqrt 10

= 69 sqrt 10.

checking option d. 5^3 sqrt 10 + 4 sqrt 10

5^3 sqrt 10 + 4 sqrt 10

= 125 sqrt 10 + 4 sqrt 10

= 129 sqrt 10.

hence, none of the option is correct.