Math Problem Statement

gambar lah fungsi berikut ini f(x)=2x

Solution

Here is the graph of the function f(x)=2xf(x) = 2x. If you'd like to explore further details or have any questions about this graph, feel free to ask!

Here are five related questions you could explore:

  1. What happens to the graph if the slope changes to 3, making f(x)=3xf(x) = 3x?
  2. How would the graph change if a constant is added, such as f(x)=2x+1f(x) = 2x + 1?
  3. What is the slope of a horizontal line, such as f(x)=2f(x) = 2?
  4. How does the function f(x)=2xf(x) = -2x compare to f(x)=2xf(x) = 2x?
  5. What is the effect of multiplying the function by a scalar, for example f(x)=4(2x)f(x) = 4(2x)?

Tip: The slope of a linear function determines how steep the graph is—higher slopes result in steeper lines!

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Math Problem Analysis

Mathematical Concepts

Linear Functions
Graphing Functions

Formulas

f(x) = mx + b (Slope-intercept form)

Theorems

Slope of a Line
Properties of Linear Functions

Suitable Grade Level

Grades 6-8