Math Problem Statement

f(x) = \frac{2x - 1}{x + 4}

Solution

The image shows a mathematical expression written on a chalkboard:

f(x)=2x1x+4f(x) = \frac{2x - 1}{x + 4}

Would you like a detailed explanation of how to analyze or work with this function? Let me know if you have any specific questions!

Here are five questions related to this function:

  1. How do you find the domain of the function f(x)=2x1x+4f(x) = \frac{2x - 1}{x + 4}?
  2. What is the vertical asymptote of this function?
  3. How do you determine the horizontal asymptote of f(x)f(x)?
  4. How would you find the intercepts (x-intercept and y-intercept) of the function?
  5. How can you sketch the graph of f(x)=2x1x+4f(x) = \frac{2x - 1}{x + 4}?

Tip: When working with rational functions, always start by analyzing the domain to identify any restrictions caused by the denominator.

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Math Problem Analysis

Mathematical Concepts

Algebra
Rational Functions
Asymptotes

Formulas

f(x) = \frac{2x - 1}{x + 4}

Theorems

Asymptote Theorems
Intercept Calculation

Suitable Grade Level

Grades 10-12