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