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Use the function f(x) to find the missing values in the table below. 𝑓(𝑥)=3𝑥+5Input Value Output Value1 4 36.212.2

Question

Use the function f(x) to find the missing values in the table below.

f(x)=3x+5 f(x) = 3x + 5

Input Value Output Value
1 4
\ \
3 6.2
12 2
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Solution

1. Break Down the Problem

We need to find the missing output values for the function f(x)=3x+5 f(x) = 3x + 5 based on the provided input values.

2. Relevant Concepts

To find the output, we will simply substitute the input values into the function.

3. Analysis and Detail

  1. For x=1 x = 1 : f(1)=3(1)+5=3+5=8 f(1) = 3(1) + 5 = 3 + 5 = 8

  2. For x=4 x = 4 : f(4)=3(4)+5=12+5=17 f(4) = 3(4) + 5 = 12 + 5 = 17

  3. For x=36.2 x = 36.2 : f(36.2)=3(36.2)+5=108.6+5=113.6 f(36.2) = 3(36.2) + 5 = 108.6 + 5 = 113.6

  4. For x=12.2 x = 12.2 : f(12.2)=3(12.2)+5=36.6+5=41.6 f(12.2) = 3(12.2) + 5 = 36.6 + 5 = 41.6

4. Verify and Summarize

We have calculated the output values for all the input values provided using the function f(x)=3x+5 f(x) = 3x + 5 .

Final Answer

The completed table is as follows:

Input Value Output Value
1 8
4 17
36.2 113.6
12.2 41.6

This problem has been solved

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