Analyzing Linear, Quadratic, and Exponential Relationships

Math Problem Statement

Linear, quadratic or exponential

Let's analyze the data provided in the table to determine whether the relationship between $x$ and $y$ is linear, quadratic, or exponential.

x & y \\ \hline -1 & 1 \\ 0 & 0 \\ 1 & 1 \\ 2 & 4 \\ \end{array}$$ #### 1. Linear Relationship A linear relationship has the form $$y = mx + b$$, where $$m$$ is the slope and $$b$$ is the y-intercept. For a linear function, the change in $$y$$ for a unit change in $$x$$ should be constant. Let's check the differences between consecutive $$y$$ values: - From \(y(0) - y(-1) = 0 - 1 = -1\

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Linear Functions
Quadratic Functions
Exponential Functions

Linear equation form: y = mx + b
Quadratic equation form: y = ax^2 + bx + c
Exponential equation form: y = a * b^x

High School

Identifying Linear, Quadratic, or Exponential Models from Data

Determining Linear, Quadratic, or Exponential Functions from a Table of Values

Understanding the Relationship Between Variables x and y in a Table

Determining the Type of Mathematical Relationship: Linear, Quadratic, or Exponential

Analyzing Linear Relationships in Data Tables