Question

hematics i a-g cr sem a aguirre
ponential decay functions
which graph represents exponential decay?

Explanation:

Step1: Recall exponential decay graph

Exponential decay functions have the form \( y = ab^x \) where \( 0 < b < 1 \). Their graphs are curves that decrease as \( x \) increases, starting from a higher \( y \)-value and approaching zero (or a horizontal asymptote) as \( x \to \infty \). Linear graphs (straight lines) are not exponential. Growth curves increase as \( x \) increases.

Step2: Analyze each graph

• Top - left: Straight line (linear), not exponential.
• Top - middle: Curved, decreasing as \( x \) increases (starts high, gets lower), matches exponential decay.
• Top - right: Straight line (linear), not exponential.
• Bottom - left: Curved, increasing as \( x \) increases (exponential growth).

Answer:

The Middle Graph (Top - middle graph)