Math Problem Statement

The graph of y = ax^3 + bx^2 + cx + d is shown opposite, where a, b, c, and d are real constants. Find the values of a, b, c, and d.

Solution

We are given the cubic equation y=ax3+bx2+cx+dy = ax^3 + bx^2 + cx + d and asked to find the values of aa, bb,

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Math Problem Analysis

Mathematical Concepts

Algebra
Cubic Functions
Graphing

Formulas

Cubic equation y = ax^3 + bx^2 + cx + d
Derivative to find critical points
Substituting points into the equation

Theorems

Theory of critical points
Function intercepts

Suitable Grade Level

Grades 10-12