Question

The speed of a wave in the ocean in meters per second can be determined using the function f(x) = 3.13
`√(x)` ,

where x represents the depth in meters of the water under the wave.
a. Graph the function.
b. Identify the domain and range.
c. How fast are the waves in the figure moving over the water?

Answer 1

See below ↓

Explanation:

• a. In the attachment

• b. Domain : x ≥ 0, Range : y ≥ 0

• c. f(x) = 3.13√10 = 9.89 m/s

Answer 2

a. Graph shown Below.

b.

• domain is in x-axis

• range is in y-axis

domain : x ≥ 0

range : f(x) ≥ 0

c.

rate of waves:

`\sf f(x) = 3.13√(x)`

the wave is 10 m above the sea

`\sf f(x) = 3.13√(10)`

`\sf f(x) = 9.9 \ m/s`