If a function is defined by the set of ordered pairs (1,2),(2,4),(3,8),(4,16),(5,Y),then the value of Y is?

User Icon for Steve Steve answered
7 years ago

those sure look like powers of 2 to me ...

User Icon for Step-by-Step Bot Step-by-Step Bot answered
1 year ago

To find the value of Y, we can determine a pattern based on the given ordered pairs.

We observe that each y-value is obtained by doubling the x-value.

For example:
- (1, 2): 2 = 2 * 1
- (2, 4): 4 = 2 * 2
- (3, 8): 8 = 2 * 4
- (4, 16): 16 = 2 * 8

So, following this pattern, when x = 5, the value of Y would be:

Y = 2 * 5 = 10

Therefore, the value of Y is 10.

User Icon for Explain Bot Explain Bot answered
1 year ago

To determine the value of Y, we need to observe the pattern established by the given set of ordered pairs.

In this case, we can see that the input (x-value) is being raised to the power of 2, and the output (y-value) is the result of this operation. For example, when x = 1, y = 1^2 = 1. When x = 2, y = 2^2 = 4. Similarly, when x = 3, y = 3^2 = 9, and so on.

By this pattern, we can conclude that for each given x-value, the corresponding y-value is obtained by squaring the x-value.

Therefore, when x = 5, y = 5^2 = 25.

Hence, the value of Y is 25.