Essential definitions, notation, and foundational properties for Mathematics: Analysis and Approaches. Perfect for reviewing basic algebra, functions, and logic terminology.
20 cards
Front
Define an **Identity** in mathematics.
Back
An equation that is true for all values of the variable within the domain of definition. For example, sin^2(x) + cos^2(x) = 1 is true for all real numbers x, whereas 2x + 1 = 5 is only true for a specific x.
Front
What is the **Degree of a Polynomial**?
Back
The highest exponent of the variable in the polynomial expression when written in standard form. For the polynomial P(x) = 3x^4 - 2x + 7, the degree is 4.
Front
Define **Domain** and **Range**.
Back
The **Domain** is the set of all possible input values (x-values) for which a function is defined. The **Range** is the set of all possible output values (y-values) the function can produce.
Front
What is the **Vertical Line Test**?
Back
A visual method used to determine if a graph represents a function. If any vertical line drawn through the graph intersects it more than once, the relation is not a function.
Front
Define the **Slope (Gradient)** of a line.
Back
A measure of the steepness of a line, calculated as the ratio of the vertical change (rise) to the horizontal change (run) between two points. Formula: m = (y2 - y1) / (x2 - x1).
Sign up to access the full deck with spaced repetition review.
Sign Up — Free