Math Problem Statement

The function f is defined by the rule: f(x) = 2x + 4. Complete the function table for x = -2, 0, and 1.

Solution

The function provided in the image is f(x)=2x+4f(x) = 2x + 4. The task is to complete the function table by calculating f(x)f(x) for the given values of xx.

Let's compute the values for each xx:

  1. For x=−2x = -2: f(−2)=2(−2)+4=−4+4=0f(-2) = 2(-2) + 4 = -4 + 4 = 0
  2. For x=0x = 0: f(0)=2(0)+4=0+4=4f(0) = 2(0) + 4 = 0 + 4 = 4
  3. For x=1x = 1: f(1)=2(1)+4=2+4=6f(1) = 2(1) + 4 = 2 + 4 = 6

Now, we can fill in the function table:

\hline x & f(x) \\ \hline -2 & 0 \\ 0 & 4 \\ 1 & 6 \\ \hline \end{array}$$ Would you like a more detailed explanation on how to evaluate functions, or do you have any questions? Here are five related questions you might want to explore: 1. What is the slope of the function $$f(x) = 2x + 4$$? 2. How do you graph the function $$f(x) = 2x + 4$$? 3. What is the intercept of the function with the y-axis? 4. Can you find the inverse of the function $$f(x) = 2x + 4$$? 5. How would the table change if the function were $$f(x) = 2x - 4$$? **Tip:** When evaluating a function, substitute the given value of $$x$$ directly into the function equation.

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Math Problem Analysis

Mathematical Concepts

Algebra
Functions

Formulas

f(x) = 2x + 4

Theorems

-

Suitable Grade Level

Grade 6-8

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