Math Problem Statement

functsin ulamjlal ol y=2x+5

Solution

It seems like there might be a typo or some unclear parts in your question. If you're asking about the function y=2x+5y = 2x + 5, here's a basic overview:

The equation y=2x+5y = 2x + 5 is a linear function, where:

  1. Slope (mm): 22, which means for every unit increase in xx, yy increases by 2.
  2. Y-intercept (bb): 55, which is the point where the line crosses the yy-axis.

Key Features:

  • Graph: It's a straight line.
  • Domain: All real numbers (R\mathbb{R}).
  • Range: All real numbers (R\mathbb{R}).

The line's equation represents a direct proportional relationship, adjusted by +5+5 (shifting the line upward).

If you meant something else or are looking for a specific property of this function, feel free to clarify! 😊


Would you like me to graph it or explain further? Here are 5 follow-up questions to explore:

  1. What is the slope and why is it important for the function's graph?
  2. How does the yy-intercept affect the line's placement on the graph?
  3. Can you find the value of yy when x=3x = 3?
  4. What happens if the slope changes to 33? How does the graph change?
  5. How would the function change if −5-5 is added instead of +5+5?

Tip: Linear functions always have the general form y=mx+by = mx + b. Keep track of the slope and intercept to analyze the line easily!

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Math Problem Analysis

Mathematical Concepts

Linear Equations
Graphing Functions
Slope and Intercept

Formulas

y = mx + b

Theorems

Slope-Intercept Form Theorem

Suitable Grade Level

Grades 6-8