## Math Problem Statement

Find the difference quotient of f; that is, find (f(x+h)-f(x))/h, h not being equal to 0 for the function f(x)=-2x^2+x

## Solution

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## Math Problem Analysis

### Mathematical Concepts

Algebra

Calculus

Difference Quotient

Quadratic Functions

### Formulas

Difference Quotient: (f(x+h) - f(x)) / h

Expansion of (x + h)^2: x^2 + 2xh + h^2

### Theorems

The difference quotient as a precursor to derivatives in calculus

### Suitable Grade Level

Grades 10-12

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