Describe a relationship that can be modeled by the function shown in the table, and explain how the function models the relationship.

x f (x)

1 4

4 8

9 12

16 16

25 20

f (x) is 4 times the square root of x

Step-by-step explanation:

4 * √1 = 4

i. e. f (1) = 4·√1

4 * √4 = 8

i. e. f (4) = 4·√4

4 * √9 = 12

i. e. f (9) = 4·√9

4 * √16 = 16

i. e. f (16) = 4·√16

4 * √25 = 20

i. e. f (25) = 4·√25

As we can clearly see, f (x) is 4 times the square root of x

i. e. f (x) = 4·√x

y = 4·√x

Step-by-step explanation:

f (x) is defined as a product of 4 into √x

4 * √1 = 4

4 * √4 = 8

4 * √9 = 12

4 * √16 = 16

4 * √25 = 20

Hence, the relationship is defined as : y is 4 times the square root of x

i. e. y = f (x) = 4·√x