Use the following function rule to find \( f(1 \) \( f(x)=9^{x} \) \( f(1)= \) Submit

To find \( f(1) \) using the function rule \( f(x) = 9^{x} \), simply substitute \( 1 \) for \( x \): \[ f(1) = 9^{1} = 9 \] So, \( f(1) = 9 \). Now, let’s explore a bit more about exponential functions like this one: they grow really quickly! For example, if you were to calculate \( f(2) \), you'd get \( 9^2 = 81 \). That's a huge jump in just one increase of \( x \)! Exponential functions, like \( f(x) = 9^x \), pop up in various real-world scenarios, from population growth to interest calculations in finance. They can help us predict how certain trends will evolve over time. Imagine saving money in a bank with compound interest — your savings could grow exponentially!