Math isn't just about numbers and symbols; it teaches us valuable skills like connecting ideas, being creative, communicating effectively, visualizing concepts, and reasoning logically. These skills are essential for solving complex problems from different angles, considering different solutions, and evaluating their effectiveness. When we develop these skills early in life, we can confidently apply math to everyday situations without any fear or doubt.

Graph Transformations involve modifying the appearance of a function's graph.
Common transformations include shifting the graph horizontally or vertically, stretching or compressing it, and reflecting it across the x-axis or y-axis.
These transformations help visualize how changes in the function's equation affect its graph.

Polynomials are mathematical expressions with variables raised to non-negative integer powers.
They take the form of $a_n{x}^n+a_{n-1}{x}^{n-1}+\cdots +a_{1}x+a_0$ where $a_n,a_{n-1},\cdots ,a_1,a_0$ are coefficients.
Polynomials are essential in algebra and can be used to represent various mathematical relationships.

Trigonometric Functions such as sine, cosine, and tangent, relate the angles of a right triangle to the ratios of its sides. Trigonometry is widely used in geometry, physics, and engineering to analyze and model periodic phenomena.

Graphing Trigonometric Functions such as sine, cosine, and tangent, extend the functions to all real numbers. They all have the same periodic behavior.

Trigonometric Identities are equations involving trigonometric functions that are true for all values of the variables. Examples include the Pythagorean identities and angle-sum and angle-difference identities. These identities are crucial for simplifying expressions and solving trigonometric equations.

Exponential Functions have the form $f(x)=a·b^x$, where a is a constant and b is the base. These functions grow or decay exponentially.
Rational Functions, on the other hand, are ratios of polynomials. They have applications in modeling real-world phenomena and are important in calculus.

Logarithms are the inverse operations of exponentiation. The logarithm represents the exponent to which its base must be raised to obtain the power. Logarithmic functions help solve exponential equations and have applications in various fields, including finance and science.

Function Operations involves adding, subtracting, multiplying, dividing and composing together functions.