To provide the exponential function and evaluate \( f(5) \), I’ll need to see the specific graph or data points you've referenced. If you can provide me with the key details such as points on the graph or the general shape (for example, if it passes through points like \( (0, a) \) and \( (1, b) \)), I can help you derive the exponential function.
An exponential function generally takes the form:
\[ f(x) = ab^x \]
where:
- \( a \) is the initial value (the value of the function when \( x=0 \)),
- \( b \) is the growth factor (indicating how much the function increases for each unit increase in \( x \)).
Once I have the necessary information, I can help you find the function and evaluate \( f(5) \).