The table below shows values for a power function of the form y = kx, for p an integer. k = i (b) Is p positive or negative? pis X eTextbook and Media 1 2 4 y (a) What is the value of the coefficient k? Enter your answer in decimal form, do not use fractions_ 0.4 0.8 1.6

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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**Educational Website Content**

**Title: Understanding Power Functions**

**Question 3 of 10**

**Current Attempt in Progress**

The table below shows values for a power function of the form \( y = kx^p \), for \( p \) an integer:

| \( x \) | \( y \) |
|---------|---------|
| 4       | 1.6     |
| 2       | 0.8     |
| 1       | 0.4     |

**(a) What is the value of the coefficient \( k \)?**

*Enter your answer in decimal form, do not use fractions.*

\[ k = \]

**(b) Is \( p \) positive or negative?**

\( p \) is \(\_\_\_\_ \).

**Options:**

- Positive
- Negative

**eTextbook and Media**

- Save for Later

**Attempts: 0 of 3**

The table illustrates a relationship between variables \( x \) and \( y \) adhering to a power function equation. Analyze the data to determine the coefficient \( k \) and discern if the power \( p \) is positive or negative based on the behavior of the function's outputs.
Transcribed Image Text:**Educational Website Content** **Title: Understanding Power Functions** **Question 3 of 10** **Current Attempt in Progress** The table below shows values for a power function of the form \( y = kx^p \), for \( p \) an integer: | \( x \) | \( y \) | |---------|---------| | 4 | 1.6 | | 2 | 0.8 | | 1 | 0.4 | **(a) What is the value of the coefficient \( k \)?** *Enter your answer in decimal form, do not use fractions.* \[ k = \] **(b) Is \( p \) positive or negative?** \( p \) is \(\_\_\_\_ \). **Options:** - Positive - Negative **eTextbook and Media** - Save for Later **Attempts: 0 of 3** The table illustrates a relationship between variables \( x \) and \( y \) adhering to a power function equation. Analyze the data to determine the coefficient \( k \) and discern if the power \( p \) is positive or negative based on the behavior of the function's outputs.
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