Question

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

B: Identify and interpret the key features of the function in the context of the situation you described in part A

Answer 1

The relationship that can be modeled by the function shown in the table is y = 4·√x

How to illustrate the information?

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

Therefore, the relationship is defined as y is 4 times the square root of x that is, y = f(x) = 4√x

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