Exponential Graph

An exponential graph represents a function where the variable is in the exponent. The most common form is:

y = a · b^x

Use the controls below to explore exponential growth and exponential decay.

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How to read an exponential graph

• y-intercept: always at (0, a).
• Growth: if b > 1, the graph rises rapidly.
• Decay: if 0 < b < 1, the graph falls toward the x-axis.
• Asymptote: the graph approaches y = 0 but never touches it.

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🧮 Examples

• y = 2^x → exponential growth
• y = 0.5^x → exponential decay
• y = 3·1.2^x → scaled growth

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Disclaimer: This interactive graph is provided for general educational reference only. Visual output may vary slightly due to device resolution, rounding, or browser rendering.