Math Problem Statement

gambarlah fungsi berikut ini f(x)=2x

Solution

Here is the graph of the linear function f(x)=2xf(x) = 2x. It represents a straight line passing through the origin, with a slope of 2.

Would you like any further details or have any questions?

Here are 5 related questions:

  1. How would the graph change if the function was f(x)=3xf(x) = 3x?
  2. What is the slope of the line, and what does it represent in this context?
  3. How would the graph of f(x)=2x+1f(x) = 2x + 1 differ from this one?
  4. How do you find the intersection points of the graph with the x-axis and y-axis?
  5. What is the general form of a linear function?

Tip: The slope in a linear function controls how steep the line is. A larger slope results in a steeper incline.

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Math Problem Analysis

Mathematical Concepts

Linear Functions
Graphing
Slope-Intercept Form

Formulas

f(x) = mx + b
Slope = (change in y) / (change in x)

Theorems

Slope-Intercept Form Theorem

Suitable Grade Level

Grades 8-10