Math Problem Statement

A function is described by the equation f(x) = -3x^2 + 5x - 2, in which f(x) is dependent on x. If a value for the independent variable is chosen from the set {-3, -2, -1, 0, 1}, which of the following would be a corresponding dependent value?

Solution

The problem involves evaluating a quadratic function f(x)=−3x2+5x−2f(x) = -3x^2 + 5x - 2 and determining which dependent value corresponds to a given independent variable xx from the set {−3,−2,−1,0,1}\{-3, -2, -1, 0, 1\}.

Let’s analyze this step-by-step for each possible xx:

  1. For x=−3x = -3: [

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Math Problem Analysis

Mathematical Concepts

Algebra
Quadratic Functions

Formulas

Quadratic function formula f(x) = ax^2 + bx + c

Theorems

-

Suitable Grade Level

Grades 9-12

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