Exponential Decay Functions — Quiz

Question 9 • Algebra: Concepts and Connections

Which graph represents exponential decay?

Answer

Image with description On a coordinate plane, a straight line has a negative slope. The line intersects y-axis at 0 comma 1 and x-axis at between 0 and 1 comma 0.

Image with description On a coordinate plane, a graph approaches y is equal to 0 in quadrant 1 and curves up into quadrant 2. The curve intersects y-axis at 0 comma 1.

Image with description On a coordinate plane, a graph approaches y is equal to 0 in quadrant 2 and curves up into quadrant 1. The curve intersect y-axis at 0 comma 1.

Image with description On a coordinate plane, a graph starts at negative 2 comma 0 and curves up and to the right into quadrant 1. The curve intersects y-axis at 0 comma between 4 and 5.

Explanation

An exponential decay graph decreases as x increases, approaching y = 0 on the right side of the graph. Moving left, its values rise, so the graph curves upward into quadrant 2 and passes through (0, 1). That matches choice B, which approaches y = 0 in quadrant 1 and curves up into quadrant 2.

AI-written and checked against the verified answer.

More from this Course

Quiz

Quiz

Quiz