Question

which graph represents the function f(x)=4·3^x?

Explanation:

Step1: Find the value of \( f(0) \)

For the function \( f(x) = 4\cdot3^{x} \), when \( x = 0 \), we have \( f(0)=4\cdot3^{0} \).
Since \( a^{0}=1(a
eq0) \), then \( f(0)=4\times1 = 4 \).

Step2: Analyze the y - intercept of each graph

• Graph A: The y - intercept (when \( x = 0 \)) is \( 3 \).
• Graph B: The y - intercept (when \( x = 0 \)) is \( - 3 \).
• Graph C: The y - intercept (when \( x = 0 \)) is \( 4 \).
• Graph D: The y - intercept (when \( x = 0 \)) is \( 2 \).

Answer:

C