Math Problem Statement

Just give the function

Find the equation of the exponential function represented by the table below: x | 0 1 2 3 y | 1 4 16 64

Solution

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

y=4xy = 4^x

Would you like a detailed explanation or help with any other questions?

Related Questions:

  1. How do you derive the general formula for an exponential function from a table?
  2. What is the significance of the base in exponential functions?
  3. How can exponential functions be graphed effectively?
  4. What are the properties of the exponential function y=4xy = 4^x?
  5. How do exponential functions differ from linear functions?

Tip:

When analyzing exponential growth, check if successive yy-values form a consistent ratio to verify the base of the function.

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Math Problem Analysis

Mathematical Concepts

Algebra
Exponential Functions

Formulas

y = a * b^x

Theorems

General form of exponential functions

Suitable Grade Level

Grades 8-10