Math Problem Statement

f(x)2/3x+12

Solution

It seems like you're trying to express a function or equation, but the notation appears unclear. Based on what you wrote, I think you might mean something like:

f(x)=23x+12f(x) = \frac{2}{3}x + 12

This is a linear function, and we can break it down as follows:

  • Slope: The coefficient of xx is 23\frac{2}{3}, which means for every 1 unit increase in xx, the value of f(x)f(x) increases by 23\frac{2}{3}.
  • Y-intercept: The constant term is 1212, meaning the graph of this function crosses the y-axis at y=12y = 12.

If you want me to explore anything specific about this function (e.g., graphing it, solving for xx, etc.), let me know!

Would you like more details on this function or have any other questions?

Here are five related questions that might expand on this topic:

  1. What is the slope of a linear function and how is it interpreted in a graph?
  2. How would you find the x-intercept of this linear equation?
  3. What would the graph of this function look like?
  4. How do changes in the slope affect the steepness of a line?
  5. What happens when you solve f(x)=0f(x) = 0 for this equation?

Tip: For linear equations, the slope tells you how steep the line is, and the y-intercept tells you where it crosses the y-axis.

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Math Problem Analysis

Mathematical Concepts

Linear Functions
Algebra

Formulas

Linear function: f(x) = mx + b

Theorems

Slope-Intercept Form

Suitable Grade Level

Grades 8-10