The ordered pairs (1,1), (2,8), (3,27), (4,64) , and (5,125) represent a function. What is a rule that represents this function?
My answer is y = x cubed
1. A
2. A
3. B
4. D
5. D (some people have 4 questions and some people have 5)
Mine has 19 questions????
Yea mine also has 19 questions I can't find the answers anywhere
yes that is right
Thank you Cheese .
Your answer is correct. The rule that represents this function is indeed y = x^3 (y equals x cubed).
To understand how to find this rule, let's analyze the given ordered pairs. Each ordered pair consists of an x-coordinate and a y-coordinate. In this case, the x-coordinate represents the input value (x) and the y-coordinate represents the output value (y).
By examining the given pairs, we can see that each y-coordinate (output value) is equal to the cube of the corresponding x-coordinate (input value). For example, when x = 1, y = 1^3 = 1. When x = 2, y = 2^3 = 8. Following this pattern, we find that the third pair, (3,27), the fourth pair, (4,64), and the fifth pair, (5,125), all have y-coordinates equal to the cube of their corresponding x-coordinates.
Hence, the rule y = x^3 accurately represents the relationship between the x and y values in this function.