Algebra-1

Question Analysis
This question requires students to use two given points to solve for the base in the exponential function. The key is to set up a system of equations using the given points and solve for .

Key Concept Explanation
The exponential function  (b > 0; b ≠ 1) has two parameters: the initial value and the base . Given two points on the graph, we can set up a system of equations to find the unknown parameters.

Step-by-step Solution
1. Substitute the first point (1, 12) into the function : or
2. Substitute the second point (3, 108) into the function

Click "Show Answer" to reveal the answer and analysis