Question

is the pictured graph growth, decay, or linear or none? exponential decay exponential growth

Explanation:

Step1: Analyze the graph shape

The graph shown has a curve that starts with a relatively slow increase and then accelerates upwards as time (the x - axis) increases. This is characteristic of an exponential growth function. Exponential growth functions have the form \(y = a\cdot b^{x}\) where \(b> 1\), and their graphs show an increasing trend with the rate of increase accelerating over time. In contrast, exponential decay has a decreasing trend with the rate of decrease slowing down, and a linear graph has a constant rate of change (a straight line).

Step2: Eliminate other options

• Exponential Decay: The graph is increasing, not decreasing, so this is incorrect.
• Linear: The graph is a curve, not a straight line, so it is not linear.

Answer:

Exponential Growth