Use the pattern of suns to complete the following questions. **Objective:** In this activity, you will practice determining if a pattern represents a linear relationship, exponential relationship, or quadratic relationship. You will also practice graphing this relationship, writing the function represented by the pattern, and creating an application problem to represent the pattern.**Observe the pattern below:**The image displays a sequence of star patterns increasing in number. Here's the breakdown:1. The first pattern consists of a single star.2. The second pattern has 4 stars arranged in a 2x2 square.3. The third pattern contains 9 stars arranged in a 3x3 square.4. The fourth pattern features 16 stars, forming a 4x4 square.5. The fifth pattern shows 25 stars in a 5x5 square.This sequence visually represents a quadratic growth pattern, with each pattern forming a perfect square as it progresses. **4. Graph the pattern on the axis provided:**The graph is a blank Cartesian coordinate plane with vertical and horizontal axes.- The vertical axis (y-axis) is labeled from 0 to 30 in increments of 5.- The horizontal axis (x-axis) is labeled from 0 to 5 in increments of 1.- Each grid square on the graph represents a 1-unit increment on both axes.**5. Write a function to represent the pattern above and show your work.**Instructions are given to write and show the work for a function that represents a pattern to be graphed. However, the specific pattern or data points are not provided in the image.

To find:- Graph of given pattern and equation of function f(x) Given pattern

OBJECTIVE: In this activity you will practice determining ifa pattern represents a Naear relationship, exponential relationship or quadratic relationship. You will also practice graphing this relationship, writing the function represented by the pattern, and creating an application problem to represent the pattem. Observe the pattern below:

OBJECTIVE: In this activity you will practice determining ifa pattern represents a Naear relationship, exponential relationship or quadratic relationship. You will also practice graphing this relationship, writing the function represented by the pattern, and creating an application problem to represent the pattem. Observe the pattern below:

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Question

Use the pattern of suns to complete the following questions.

**Objective:** In this activity, you will practice determining if a pattern represents a linear relationship, exponential relationship, or quadratic relationship. You will also practice graphing this relationship, writing the function represented by the pattern, and creating an application problem to represent the pattern.

**Observe the pattern below:**

The image displays a sequence of star patterns increasing in number. Here's the breakdown:

1. The first pattern consists of a single star.
2. The second pattern has 4 stars arranged in a 2x2 square.
3. The third pattern contains 9 stars arranged in a 3x3 square.
4. The fourth pattern features 16 stars, forming a 4x4 square.
5. The fifth pattern shows 25 stars in a 5x5 square.

This sequence visually represents a quadratic growth pattern, with each pattern forming a perfect square as it progresses.

**4. Graph the pattern on the axis provided:**

The graph is a blank Cartesian coordinate plane with vertical and horizontal axes.
- The vertical axis (y-axis) is labeled from 0 to 30 in increments of 5.
- The horizontal axis (x-axis) is labeled from 0 to 5 in increments of 1.
- Each grid square on the graph represents a 1-unit increment on both axes.

**5. Write a function to represent the pattern above and show your work.**

Instructions are given to write and show the work for a function that represents a pattern to be graphed. However, the specific pattern or data points are not provided in the image.

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