Grafen till en polynomfunktion av första graden är en linje. I figuren nedan ser du grafen till förstagradspolynomfunktionen Bestäm uttrycket för funktionen

Step 1: Break Down the Problem

To find the expression for the linear polynomial function, we need to determine the equation of the line. A first-degree polynomial function has the general form: $f(x) = ax + b$ where $a$ is the slope of the line and $b$ is the y-intercept.

Step 2: Relevant Concepts

To derive the equation of the line, we typically need:

1. The coordinates of at least two points on the line (e.g., $(x_1, y_1)$ and $(x_2, y_2)$).
2. The slope $a$, which can be calculated as: $a = \frac{y_2 - y_1}{x_2 - x_1}$
3. The y-intercept $b$, which can be calculated by substituting one of the points into the linear equation after finding $a$.

Step 3: Analysis and Detail

Assuming we have the points from the graph (let's say $(x_1, y_1)$ and $(x_2, y_2)$):

1. Calculate the slope $a$.
2. Choose one of the points to find $b$: $b = y_1 - ax_1$

Step 4: Verify and Summarize

Once we have both $a$ and $b$, we can write the expression for the function. Let's verify the calculations if you have specified points.

Final Answer

The final expression for the function will be: $f(x) = ax + b$ (You can replace $a$ and $b$ with numerical values derived from the points on the graph.)