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Determine which of the following graphs represents the equation below. Also determine the y-intercept of the graph. y = 3(2ˣ).

A) Graph A, Y-intercept = 0
B) Graph B, Y-intercept = 3
C) Graph C, Y-intercept = 6
D) Graph D, Y-intercept = 9

User Wurli
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1 Answer

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Final answer:

The equation y = 3(2ˣ) represents exponential growth. Graph B represents this equation with a y-intercept of 3.

Step-by-step explanation:

The equation y = 3(2ˣ) represents exponential growth, where the y-value is determined by multiplying 3 by 2 raised to the power of x. To determine the graph that represents this equation, we look for the y-intercept, which occurs when x = 0. Plugging in x = 0 into the equation, we get y = 3(2⁰) = 3(1) = 3. Therefore, the correct graph is Graph B, with a y-intercept of 3.

User Louro
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