Result

Calculation Steps

Visual Representation

About Cubic Functions

What are Cubic Functions?

Cubic functions are polynomial functions of degree 3, while trigonometric functions involve periodic behaviors based on angles or rotations.

Formulas and Their Meanings

1. Cubic function: \(f(x) = ax^3 + bx^2 + cx + d\)

• \(a\), \(b\), \(c\), and \(d\) are constants
• \(a \neq 0\)

2. Cosine function: \(f(x) = A \cos(Bx)\)

• \(A\) is the amplitude
• \(B\) is the angular frequency

Calculation Steps

1. Define the functions: \(f_1(x) = x^3 - 2x^2 + 5\) and \(f_2(x) = 1.5 \cos(2x)\)
2. Choose a range of x-values
3. Evaluate both functions for each x-value
4. Plot the results on the same coordinate system

Example

Let's evaluate both functions at x = 0:

1. \(f_1(0) = 0^3 - 2(0^2) + 5 = 5\)

2. \(f_2(0) = 1.5 \cos(2(0)) = 1.5 \cos(0) = 1.5\)