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6. $f(x) = 7 + 3x$ | $x$ | $7 + 3x$ | $f(x)$ | | --- | --- | --- | | | …

Question

  1. $f(x) = 7 + 3x$
$x$$7 + 3x$$f(x)$

Explanation:

Step1: Choose x values (e.g., 0,1,2,3)

Let's pick \( x = 0, 1, 2, 3 \) for simplicity.

Step2: Calculate \( 7 + 3x \) for \( x = 0 \)

For \( x = 0 \), \( 7 + 3(0) = 7 \), so \( f(0) = 7 \).

Step3: Calculate \( 7 + 3x \) for \( x = 1 \)

For \( x = 1 \), \( 7 + 3(1) = 10 \), so \( f(1) = 10 \).

Step4: Calculate \( 7 + 3x \) for \( x = 2 \)

For \( x = 2 \), \( 7 + 3(2) = 13 \), so \( f(2) = 13 \).

Step5: Calculate \( 7 + 3x \) for \( x = 3 \)

For \( x = 3 \), \( 7 + 3(3) = 16 \), so \( f(3) = 16 \).

Now we can fill the table:

\( x \)\( 7 + 3x \)\( f(x) \)
1\( 7 + 3(1) = 10 \)10
2\( 7 + 3(2) = 13 \)13
3\( 7 + 3(3) = 16 \)16

(You can choose other \( x \) values as well, this is just an example.)

Answer:

The table can be filled with \( x \) values (e.g., 0,1,2,3), corresponding \( 7 + 3x \) calculations, and \( f(x) \) values as shown above.