Final answer:
To match the graph of the function with the function rule, we need to analyze the behavior of the graph and match it to the corresponding equation. Option A represents rapid exponential growth, option B represents even faster exponential growth, option C represents exponential decay, and option D represents slower exponential growth.
Step-by-step explanation:
To match the graph of the function with the function rule, we need to analyze the behavior of the graph and match it to the corresponding equation. Let's analyze each option:
A) y = 1•4ˣ: This function represents exponential growth where the base is 4. As x increases, y will increase rapidly.
B) y = 3•10ˣ: This function also represents exponential growth, but with a larger base of 10. As x increases, y will increase even more rapidly compared to option A.
C) y = 10•4ˣ: This function represents exponential decay. As x increases, y will decrease.
D) y = 2•4ˣ: This function represents exponential growth with a base of 4, but at a slower rate compared to option A.
Based on the analysis, we can match the graphs as follows:
A) y = 1•4ˣ - This graph shows rapid exponential growth.
B) y = 3•10ˣ - This graph shows even faster exponential growth.
C) y = 10•4ˣ - This graph shows exponential decay.
D) y = 2•4ˣ - This graph shows slower exponential growth compared to option A.