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The problem provides a linear function \( F(x) = 3x - 2 \) and asks for the following:

### a. Tentukan pasangan atau peta \( x = -3, -2, -1, 0, 1, 2 \)
We need to determine the output of \( F(x) \) for each of these \( x \)-values.

\[
F(-3) = 3(-3) - 2 = -9 - 2 = -11
\]
\[
F(-2) = 3(-2) - 2 = -6 - 2 = -8
\]
\[
F(-1) = 3(-1) - 2 = -3 - 2 = -5
\]
\[
F(0) = 3(0) - 2 = 0 - 2 = -2
\]
\[
F(1) = 3(1) - 2 = 3 - 2 = 1
\]
\[
F(2) = 3(2) - 2 = 6 - 2 = 4
\]

So, the pairs are:
\[
(-3, -11), (-2, -8), (-1, -5), (0, -2), (1, 1), (2, 4)
\]

### b. Tentukan pula pasangan \( x = \frac{1}{2}, \frac{3}{4}, \frac{3}{2} \)
We need to find \( F(x) \) for the fractional values of \( x \).

\[
F\left(\frac{1}{2}\right) = 3\left(\frac{1}{2}\right) - 2 = \frac{3}{2} - 2 = \frac{3}{2} - \frac{4}{2} = -\frac{1}{2}
\]
\[
F\left(\frac{3}{4}\right) = 3\left(\frac{3}{4}\right) - 2 = \frac{9}{4} - 2 = \frac{9}{4} - \frac{8}{4} = \frac{1}{4}
\]
\[
F\left(\frac{3}{2}\right) = 3\left(\frac{3}{2}\right) - 2 = \frac{9}{2} - 2 = \frac{9}{2} - \frac{4}{2} = \frac{5}{2}
\]

So, the pairs are:
\[
\left(\frac{1}{2}, -\frac{1}{2}\right), \left(\frac{3}{4}, \frac{1}{4}\right), \left(\frac{3}{2}, \frac{5}{2}\right)
\]

### c. Gambar grafik fungsi \( F \) pada kertas grafik
To graph the function \( F(x) = 3x - 2 \), plot the points calculated in parts (a) and (b), then draw the straight line through these points. Since this is a linear function, the graph will be a straight line with a slope of 3 and a y-intercept of -2.

Would you like a more detailed graph explanation or help with plotting the points? 

### Relative Questions:
1. What is the slope of the function \( F(x) = 3x - 2 \)?
2. How do you interpret the y-intercept in a linear function?
3. How would the graph change if the function was \( F(x) = 3x + 2 \)?
4. Can you find \( F(x) \) for \( x = -\frac{1}{2} \)?
5. What are the key differences between a linear and a quadratic function graph?

### Tip:
When plotting linear functions, start with the y-intercept and use the slope to find other points easily.

Diketahui fungsi F dari bilangan rasional ke bilangan rasional dengan aturan F(x) = 3x - 2. Tentukan pasangan atau peta untuk x = -3, -2, -1, 0, 1, 2, dan juga x = 1/2, 3/4, 3/2. Gambarlah grafik fungsi F pada kertas grafik.

Learn how to find the function pairs for F(x) = 3x - 2 with different rational inputs and graph the linear function. This problem covers key algebra concepts, suitable for students in Grades 9-10.

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