Semester 2 Final Exam Overview Practice Flashcards

Vocabulary-style flashcards covering key concepts from Units 7, 8, 9, and 10 as outlined in the Semester 2 Final Exam Overview.

Degree of a Polynomial

A feature identified from an equation or graph used to determine end behavior and the maximum number of potential roots.

Leading Coefficient

The numerical factor of the first term of a polynomial when written in standard form, used to determine the end behavior of the graph.

End Behavior

The behavior of the graph of a function as $x$ approaches positive or negative infinity, related to whether the degree of the polynomial is even or odd.

Multiplicity

The number of times a specific factor or real root appears in the factored form of a polynomial equation.

Polynomial Division

A method used to factor a polynomial completely or to find a specific quotient and remainder.

Direct Variation

A relationship between two variables that can be written as an equation in the form $y = kx$, where $k$ is the constant of variation.

Inverse Variation

A relationship between two variables that can be written as an equation in the form $y = \frac{k}{x}$, where $k$ is the constant of variation.

Constant of Variation

The fixed value, often represented as $k$, determined and used to solve for missing values in direct or inverse variation problems.

Piecewise Function

A function that is defined by different expressions or rules based on the input value ($x$).

Correlation Coefficient

A numerical value used to interpret the strength of the correlation between variables in a scatterplot.

Rational Function

A function that can be expressed as a ratio of two polynomials, requiring the identification of domain, range, intercepts, and asymptotes.

Asymptotes

Lines that the graph of a rational function approaches but does not cross, serving as a key feature of the function's graph.

Discontinuities

Key features of a rational function graph, such as holes, where the function is not continuous.

Extraneous Solution

A solution derived from solving a radical equation that, when substituted back into the original equation, does not result in a true statement.

The number $e$

A specific mathematical constant used as a base for natural logarithms and in conceptual questions in Unit 10.

Logarithm

An expression or quantity representing the power to which a fixed number (the base) must be raised to produce a given number.

Logarithmic Form

The representation of an exponential equation rewritten using logs, such as converting $b^x = y$ into $\text{log}_b(y) = x$.

Properties of Logarithms

A set of mathematical rules used to rewrite or simplify given logarithmic expressions.

Exam Duration

The total time of $45$ minutes allotted for students to complete the Semester 2 Final Exam.

Calculator Policy

The specific rule for the Semester 2 Final Exam stating that a calculator will NOT be permitted.