The table represents some points on the graph of an exponetial function.
X | -1 | 1 | 3 | 5 |
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k(x) | 0.02 | 2 | 200| 20,000 |
based on the table, which function represents the same relationship?
A.) k(x) = 0.2(10)^x
B.) k(x) = 2(10)^x
C.) k(x) = 10(0.2)^2
D.) k(x) = 10(2)^2
To figure out which function represents the same relationship as the table, we can look for patterns in the table and compare them to the possible functions.
Looking at the table, we can see that as the value of x increases, the value of k(x) also increases. Additionally, we can see that the value of k(x) doubles each time x increases by 2.
Let's compare this pattern to the possible functions:
A.) k(x) = 0.2(10)^x - This function does not show the pattern of doubling as x increases by 2.
B.) k(x) = 2(10)^x - This function does show the pattern of doubling as x increases by 2. It is a possible match.
C.) k(x) = 10(0.2)^2 - This function does not show the pattern of doubling as x increases by 2.
D.) k(x) = 10(2)^2 - This function does not show the pattern of doubling as x increases by 2.
Based on the patterns observed in the table, the function that represents the same relationship is B.) k(x) = 2(10)^x.