Math Problem Statement

f(x)= x2+3x-4

Solution

You provided the function:

f(x)=x2+3x4f(x) = x^2 + 3x - 4

Would you like me to analyze it in any specific way? I can:

  • Factor it
  • Find its roots (solve f(x)=0f(x) = 0)
  • Find its vertex
  • Find its domain and range
  • Find its derivative

Let me know what you need!

Related Questions:

  1. How do you factor a quadratic function?
  2. What is the vertex form of a quadratic equation?
  3. How do you determine the axis of symmetry for a quadratic function?
  4. What are the applications of quadratic functions in real life?
  5. How do you graph a quadratic function?

Tip:

For any quadratic function ax2+bx+cax^2 + bx + c, the sum of the roots is given by ba-\frac{b}{a} and the product of the roots is ca\frac{c}{a}.

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Math Problem Analysis

Mathematical Concepts

Algebra
Quadratic Functions
Factoring
Roots of Equations
Vertex of a Parabola
Domain and Range
Derivatives

Formulas

Quadratic equation: ax^2 + bx + c = 0
Roots formula: x = (-b ± √(b² - 4ac)) / 2a
Vertex formula: (-b / 2a, f(-b / 2a))
Sum of roots: -b/a
Product of roots: c/a

Theorems

Quadratic Formula
Factorization Method
Vertex Theorem
Derivative Rules

Suitable Grade Level

Grades 8-10