https://file.aiquickdraw.com/mathbot/file/17300427946903bq8f9n2.jpg

The function given is:

\[
f(x) = 5 \cdot 2^x
\]

We are asked to determine \( f(3) \).

### Solution:

1. Substitute \( x = 3 \) into the function:
   \[
   f(3) = 5 \cdot 2^3
   \]

2. Calculate \( 2^3 \):
   \[
   2^3 = 8
   \]

3. Multiply by 5:
   \[
   f(3) = 5 \cdot 8 = 40
   \]

### Answer:
The correct answer is \( f(3) = 40 \).

Would you like more details or have any questions?

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Here are 5 related questions:
1. What is the general form of an exponential function?
2. How would \( f(x) \) change if the base were 3 instead of 2?
3. How does the graph of \( f(x) = 5 \cdot 2^x \) behave as \( x \) increases?
4. What is the effect of multiplying by 5 in the function \( f(x) = 5 \cdot 2^x \)?
5. Can exponential functions ever have a negative output?

**Tip:** When calculating powers, break down the exponentiation first, then apply any multiplication for clarity.

En eksponentiel funktion har forskriften f(x) = 5 * 2^x. Bestem f(3).

Learn how to evaluate the exponential function f(x) = 5 * 2^x at x = 3 with step-by-step calculations. This exercise covers key exponential function concepts, suitable for students in Grades 8-10.

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