Question

recognizing exponential decay

which graph represents exponential decay?

Explanation:

Identify exponential decay behavior

Using the Exponential Decay knowledge point, we look for a curve that decreases from left to right, approaching a horizontal asymptote.

Analyze the first graph

The first graph shows a straight line decreasing and crossing the x-axis. This represents a linear function, not an exponential function.

Analyze the second graph

Using the Exponential Growth knowledge point, the second graph shows a curve that increases from left to right, which represents exponential growth.

Analyze the third graph

The third graph shows a straight line increasing from left to right. This represents a linear function.

Analyze the fourth graph

Using the Horizontal Asymptote and Exponential Decay knowledge points, the fourth graph shows a curve decreasing from left to right, flattening out as it approaches the x-axis (\(y = 0\)). This is the correct representation of exponential decay.

Answer:

• (A) A decreasing straight line crossing the x-axis
• (B) An increasing curve representing growth
• (C) An increasing straight line
• (D) A decreasing curve approaching the x-axis (Correct answer)