cost d in dollars, of the number n of tickets bought for a baseball. This can be expressed as d=10n. Graph this function rule. Indicate whether this function is continuous or discrete.
cost d in dollars, of the number n of tickets bought for a baseball. This can be expressed as d=10n. Graph this function rule. Indicate whether this function is continuous or discrete.
Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
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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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The cost d in dollars, of the number n of tickets bought for a baseball. This can be expressed as d=10n. Graph this function rule. Indicate whether this function is continuous or discrete.
![**Intro to Functions/Graphing and Writing a Function Rule Assignment**
**Name:** [Student Name]
**Period:** 5th
**Date:** 3/30/21
**Math 8**
### Exercise 5:
**Equation:** \( y = |x - 2| + 1 \)
**Table of Values:**
- \( x = 1 \), \( y = 2 \)
- \( x = 4 \), \( y = 3 \)
- \( x = 3 \), \( y = 2 \)
*Work:*
- For \( x = 1 \): \( |1 - 2| + 1 = 2 \)
- For \( x = 4 \): \( |4 - 2| + 1 = 3 \)
- For \( x = 3 \): \( |3 - 2| + 1 = 2 \)
### Exercise 6:
**Equation:** \( y = x^3 + 1 \)
\( y = f(x) \)
**Table of Values:**
- \( x = -2 \), \( y = -7 \)
- \( x = -1 \), \( y = 0 \)
- \( x = 0 \), \( y = 1 \)
- \( x = 2 \), \( y = 9 \)
*Work:*
- For \( x = -2 \): \( (-2)^3 + 1 = -7 \)
- For \( x = -1 \): \( (-1)^3 + 1 = 0 \)
- For \( x = 0 \): \( 0^3 + 1 = 1 \)
- For \( x = 2 \): \( 2^3 + 1 = 9 \)
**Instructions:**
Graph each function rule. Indicate whether the function is continuous or discrete.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4b0b288e-d126-44b4-8b2b-44dfb1405bf1%2F1a87977f-4ed6-453f-a278-86dca43ef7d6%2Fjmzssso_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Intro to Functions/Graphing and Writing a Function Rule Assignment**
**Name:** [Student Name]
**Period:** 5th
**Date:** 3/30/21
**Math 8**
### Exercise 5:
**Equation:** \( y = |x - 2| + 1 \)
**Table of Values:**
- \( x = 1 \), \( y = 2 \)
- \( x = 4 \), \( y = 3 \)
- \( x = 3 \), \( y = 2 \)
*Work:*
- For \( x = 1 \): \( |1 - 2| + 1 = 2 \)
- For \( x = 4 \): \( |4 - 2| + 1 = 3 \)
- For \( x = 3 \): \( |3 - 2| + 1 = 2 \)
### Exercise 6:
**Equation:** \( y = x^3 + 1 \)
\( y = f(x) \)
**Table of Values:**
- \( x = -2 \), \( y = -7 \)
- \( x = -1 \), \( y = 0 \)
- \( x = 0 \), \( y = 1 \)
- \( x = 2 \), \( y = 9 \)
*Work:*
- For \( x = -2 \): \( (-2)^3 + 1 = -7 \)
- For \( x = -1 \): \( (-1)^3 + 1 = 0 \)
- For \( x = 0 \): \( 0^3 + 1 = 1 \)
- For \( x = 2 \): \( 2^3 + 1 = 9 \)
**Instructions:**
Graph each function rule. Indicate whether the function is continuous or discrete.
Transcribed Image Text:**Topic: Understanding and Graphing Functions**
**Instructions:**
Graph each function rule. Indicate whether the function is continuous or discrete.
**Example Problem:**
1. The cost \( d \) in dollars, of the number \( n \) of tickets bought for a baseball game. This can be expressed as \( d = 10n \).
**Explanation of the Tables:**
- **Table on the Left:**
- Column \( x \): Values are -2, -1, 0, 1, 2
- Corresponding Column \( y \) Values: 5, 4, 3, 2, 1
- **Table on the Right:**
- Column \( x \): Values are -2, -1, 0, 1, 2
- Corresponding Column \( y \) Values: \(\frac{1}{9}\), \(\frac{1}{3}\), 1, 3, 9
**Notes:**
- Determine the nature of the function (discrete or continuous) based on the given rule.
- For discrete functions, the values are distinct and separate (e.g., number of tickets).
- For continuous functions, the values form an unbroken curve (e.g., cost over time with fractions).
**Graph Analysis:**
- Each provided point in the tables can be graphed on the coordinate plane.
- Ensure clarity on the type of graph (points versus a line) based on the function properties.
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