Math Problem Statement

or Complete the table.

f(x) = x − 1 x f(x) 2 4 6 8

Solution

To complete the table for the function f(x)=x1f(x) = x - 1, we need to substitute each value of xx into the function and find the corresponding f(x)f(x).

Given:

f(x)=x1f(x) = x - 1

Let's calculate:

  1. For x=2x = 2: f(2)=21=1f(2) = 2 - 1 = 1

  2. For x=4x = 4: f(4)=41=3f(4) = 4 - 1 = 3

  3. For x=6x = 6: f(6)=61=5f(6) = 6 - 1 = 5

  4. For x=8x = 8: f(8)=81=7f(8) = 8 - 1 = 7

Now, the completed table is:

\hline x & f(x) \\ \hline 2 & 1 \\ \hline 4 & 3 \\ \hline 6 & 5 \\ \hline 8 & 7 \\ \hline \end{array}$$ Would you like more details on how these calculations were done or have any questions? Here are five related questions to deepen your understanding: 1. What would the table look like for $$f(x) = 2x - 1$$? 2. How would the table change if $$f(x) = x + 2$$? 3. Can you find $$f(x)$$ if $$x = 10$$ using the same function? 4. What is the inverse function of $$f(x) = x - 1$$? 5. How would the graph of $$f(x) = x - 1$$ look? **Tip:** When working with functions, always ensure you're substituting the correct value of $$x$$ into the function to find $$f(x)$$.

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Math Problem Analysis

Mathematical Concepts

Algebra
Functions
Linear Equations

Formulas

f(x) = x - 1

Theorems

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Suitable Grade Level

Grades 6-8