Question

Match the graph of the function with the function rule.

Answer 1

By applying the definition of exponential function, we find that the function f(x) = 3 · 2ˣ match with the graph of the picture. (Correct choice: A)

What is the equation behind the exponential curve seen in the graph?

In this question we have the graph of a exponential function, whose expression have to be found based on the definition of exponential 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 exponential 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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