Math Problem Statement
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?
Solution
The question is asking which of the three graphs in the image represents a linear function, which follows the form .
Looking at the graph:
- The yellow graph is a straight line, which is characteristic of a linear function because it has the form (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:
- How can you recognize a linear function from its equation?
- What are the characteristics of a polynomial graph?
- What are the effects of changing the slope and intercept in the equation ?
- Can a quadratic or cubic function ever appear as a straight line?
- 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.
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Math Problem Analysis
Mathematical Concepts
Linear Functions
Graphs of Functions
Polynomials
Formulas
y = ax + b
Theorems
Properties of Linear Functions
Suitable Grade Level
Grades 7-9