https://file.aiquickdraw.com/mathbot/file/1726481417812poq3rzb2.jpg

The question is asking which of the three graphs in the image represents a linear function, which follows the form \( y = ax + b \).

Looking at the graph:
- **The yellow graph** is a straight line, which is characteristic of a linear function because it has the form \( y = ax + b \) (a straight line).
- The **orange graph** and the **blue graph** are curved, meaning they cannot represent linear functions. They likely represent higher-degree polynomial functions or other non-linear types.

So, the **yellow graph** is the graph of a linear function.

Would you like further details or have any other questions?

Here are some related questions:
1. How can you recognize a linear function from its equation?
2. What are the characteristics of a polynomial graph?
3. What are the effects of changing the slope \(a\) and intercept \(b\) in the equation \(y = ax + b\)?
4. Can a quadratic or cubic function ever appear as a straight line?
5. How do you determine the degree of a polynomial function from its graph?

**Tip:** Linear functions always produce straight lines, whereas non-linear functions (like quadratics or cubics) result in curves.

Figuren viser 3 grafer, hvor en af dem er grafen for en lineær funktion y = ax + b. Hvilken graf er grafen for en lineær funktion?

This problem asks students to identify a linear function from a graph with three functions. It reinforces concepts such as recognizing the form y = ax + b and the differences between linear and non-linear graphs. Suitable for students in Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation