https://file.aiquickdraw.com/mathbot/file/1726850304290ucdibh5t.jpg

Let's analyze the graph and answer the questions based on it.

The graph shows the function \( y = f(x) \). You are asked to:

**a) Beräkna \( f(2) \)**  
This asks you to find the value of the function \( f(x) \) at \( x = 2 \). Look at the graph where \( x = 2 \) and find the corresponding \( y \)-value.

From the graph:
- At \( x = 2 \), the value of \( f(x) \) is \( y = 4 \).

Thus, \( f(2) = 4 \).

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**b) Lösa ekvationen \( f(x) = 14 \)**  
This asks for the values of \( x \) where \( f(x) = 14 \). Look at the graph and find the \( x \)-values where the \( y \)-coordinate equals 14.

From the graph:
- \( f(x) = 14 \) occurs at two points: \( x = -12 \) and \( x = 12 \).

Thus, the solutions to \( f(x) = 14 \) are \( x = -12 \) and \( x = 12 \).

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Would you like further explanation or have any questions?

Here are five related questions you can explore:

1. What is the value of \( f(-10) \)?
2. What is the value of \( f(0) \)?
3. Solve the equation \( f(x) = 10 \).
4. At which \( x \)-values does the graph have local maxima or minima?
5. Determine the intervals where the function is increasing or decreasing.

**Tip:** Always ensure to carefully analyze the scale of both the x-axis and y-axis when reading off values from a graph.

Nedan visas grafen till funktion y = f(x). Använd grafen att: a) Beräkna f(2) b) Lösa ekvationen f(x) = 14

Learn how to read a graph to calculate f(2) and solve f(x) = 14. This problem involves understanding graph functions, evaluating points on the graph, and solving for specific values. Suitable for students in Grades 8-10.

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