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For the given function, compute the missing values in the following table. f(x) = 8x X f(x) -24 -3 X -16 -2 X -8 -1 X 0 0 X 8 1 16 2 X 24 3 X

For the given function, compute the missing values in the following table. f(x) = 8x X f(x) -24 -3 X -16 -2 X -8 -1 X 0 0 X 8 1 16 2 X 24 3 X

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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### Function Evaluation Exercise For the given function, compute the missing values in the following table. **Function:** \[ f(x) = 8^x \] **Table:** | \(\mathbf{x}\) | \(-3\) | \(-2\) | \(-1\) | \(0\) | \(1\) | \(2\) | \(3\) | |:--------------:|:-----:|:-----:|:-----:|:----:|:----:|:----:|:----:| | \(\mathbf{f(x)}\) | \(-24\) | \(-16\) | \(-8\) | \(0\) | \(8\) | \(16\) | \(24\) | In this table, each value in the row for \(f(x)\) is checked for accuracy against the given function \(f(x) = 8^x\). Correct and incorrect calculations are marked respectively: - \(x = -3\): \(-24\) ❌ - \(x = -2\): \(-16\) ❌ - \(x = -1\): \(-8\) ❌ - \(x = 0\): \(0\) ❌ - \(x = 1\): \(8\) ✅ - \(x = 2\): \(16\) ❌ - \(x = 3\): \(24\) ❌ ### Explanation of Incorrect Values: - For \(x = -3\), the correct value should be \((\frac{1}{8})^3 = \frac{1}{512}\). - For \(x = -2\), the correct value should be \((\frac{1}{8})^2 = \frac{1}{64}\). - For \(x = -1\), the correct value should be \((\frac{1}{8}) = 0.125\). - For \(x = 0\), the correct value should be \(8^0 = 1\). - For \(x = 2\), the correct value should be \(8^2 = 64\). - For \(x = 3\), the correct value should be \(8^3 = 512\). ### Understanding the Function The function \(f(x) =
Transcribed Image Text:### Function Evaluation Exercise For the given function, compute the missing values in the following table. **Function:** \[ f(x) = 8^x \] **Table:** | \(\mathbf{x}\) | \(-3\) | \(-2\) | \(-1\) | \(0\) | \(1\) | \(2\) | \(3\) | |:--------------:|:-----:|:-----:|:-----:|:----:|:----:|:----:|:----:| | \(\mathbf{f(x)}\) | \(-24\) | \(-16\) | \(-8\) | \(0\) | \(8\) | \(16\) | \(24\) | In this table, each value in the row for \(f(x)\) is checked for accuracy against the given function \(f(x) = 8^x\). Correct and incorrect calculations are marked respectively: - \(x = -3\): \(-24\) ❌ - \(x = -2\): \(-16\) ❌ - \(x = -1\): \(-8\) ❌ - \(x = 0\): \(0\) ❌ - \(x = 1\): \(8\) ✅ - \(x = 2\): \(16\) ❌ - \(x = 3\): \(24\) ❌ ### Explanation of Incorrect Values: - For \(x = -3\), the correct value should be \((\frac{1}{8})^3 = \frac{1}{512}\). - For \(x = -2\), the correct value should be \((\frac{1}{8})^2 = \frac{1}{64}\). - For \(x = -1\), the correct value should be \((\frac{1}{8}) = 0.125\). - For \(x = 0\), the correct value should be \(8^0 = 1\). - For \(x = 2\), the correct value should be \(8^2 = 64\). - For \(x = 3\), the correct value should be \(8^3 = 512\). ### Understanding the Function The function \(f(x) =
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