By applying the definition of <em>exponential</em> function, we find that the function f(x) = 3 · 2ˣ match with the graph of the picture. (Correct choice: A)
<h3>What is the equation behind the exponential curve seen in the graph?</h3>
In this question we have the graph of a <em>exponential</em> function, whose expression have to be found based on the definition of <em>exponential</em> function:
y = a · bˣ (1)
Where:
- a - Initial value of the exponetial function.
- b - Base of the exponential function.
- x - Independent variable
- y - Dependent variable
Now we find the values for a and b:
Initial value (x = 0, y = 3)
3 = a · b⁰
a = 3
Base of the exponential function (x = 1, a = 3, y = 6)
6 = 3 · a
a = 6 / 3
a = 2
By applying the definition of <em>exponential</em> function, we find that the function f(x) = 3 · 2ˣ match with the graph of the picture. (Correct choice: A)
To learn more on exponential functions: brainly.com/question/11487261
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