Math Problem Statement

solve this and provide the right answers

What are the missing values in the table that show the points on the graph of f(x) = 2x - 4?

Solution

To solve this problem, we need to evaluate the function f(x)=2x4f(x) = 2x - 4 for the values of xx given in the table and blanks provided.

  1. Find f(2)f(2): f(2)=2(2)4=44=0f(2) = 2(2) - 4 = 4 - 4 = 0

  2. Find f(4)f(4): f(4)=2(4)4=84=4f(4) = 2(4) - 4 = 8 - 4 = 4

  3. Find f(6)f(6): f(6)=2(6)4=124=8f(6) = 2(6) - 4 = 12 - 4 = 8

Complete Table with Missing Values:

For the table and the blank entries, we now have:

  • f(2)=0f(2) = 0
  • f(4)=4f(4) = 4
  • f(6)=8f(6) = 8

So the answers are:

  • f(2)=0f(2) = 0
  • f(4)=4f(4) = 4
  • f(6)=8f(6) = 8

Would you like further explanations on any of these calculations or need help with another problem?

Related Questions to Explore:

  1. What would be the value of f(x)f(x) if x=4x = -4?
  2. How would the graph of f(x)=2x4f(x) = 2x - 4 look on a coordinate plane?
  3. What is the slope of the function f(x)=2x4f(x) = 2x - 4, and what does it represent?
  4. How does the function f(x)=2x4f(x) = 2x - 4 change if we alter the constant to 2-2?
  5. Can you find the x-intercept of the function f(x)=2x4f(x) = 2x - 4?

Tip:

For linear functions like f(x)=2x4f(x) = 2x - 4, knowing the slope and intercepts can help quickly graph and interpret values without extensive calculations.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Functions
Function Evaluation

Formulas

f(x) = 2x - 4

Theorems

Linear equation theorem

Suitable Grade Level

Grades 7-9