Math Problem Statement

Just give the function

Find the equation of the exponential function represented by the table below: x | y ---|--- 0 | 0.1 1 | 0.4 2 | 1.6 3 | 6.4

Solution

The equation of the exponential function represented by the table is:

y=0.14xy = 0.1 \cdot 4^x

Let me know if you need more details or explanations!

Related Questions:

  1. How do you determine the base of an exponential function from a table?
  2. What is the general form of an exponential equation?
  3. How do you check if a table represents an exponential function?
  4. Can this method apply to logarithmic or polynomial functions?
  5. How does changing the base affect the growth rate of an exponential function?

Tip:

Always check the ratio between consecutive yy-values to confirm exponential growth or decay!

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Math Problem Analysis

Mathematical Concepts

Exponential Functions
Patterns in Tables
Growth Rate

Formulas

y = a * b^x

Theorems

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Suitable Grade Level

Grades 9-12