which exponential function is represented by the graph?
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Answer:
y = 1/2 * (2) ^x
Step-by-step explanation:
We know the function is exponential grwoth
y = a b^x so a is the initial value and b is the growth factor so b > 1
We have the value ( 0, 1/2)
Let x = 0 and y = 1/2
1/2 = a ( b) ^0
1/2 = a* 1
1/2 =a
y = 1/2 b^x
Using the value 1,1
1 = 1/2 * (b) ^1
1 = 1/2 * b
Multiply each side by 2
2 *1 = 1/2 * 2 * b
2 = b
y = 1/2 * (2) ^x