MAT187 Precalculus Exam Review

These flashcards cover key vocabulary and concepts related to calculus and precalculus fundamentals, as reviewed in the exam notes.

Compounded Quarterly

Interest calculated four times a year.

Logarithm

The exponent by which a base must be raised to yield a given number.

Extraneous Solution

A solution that emerges from the process of solving a problem but is not valid in the original scenario.

Domain

The set of possible input values (x-values) for a function.

Horizontal Asymptote

A horizontal line that the graph of a function approaches as x approaches infinity or negative infinity.

Synthetic Division

A shorthand method of polynomial division in which the coefficients are used.

Factored Form

A way of expressing a polynomial as the product of its linear factors.

Inverse Function

A function that reverses the effect of the original function.

Polynomial Degree

The highest power of the variable in a polynomial.

Turning Points

Points where the graph of a function changes direction.

Slant Asymptote

An oblique asymptote to a curve that is not horizontal or vertical.

Remainder Theorem

A theorem that provides a quick way to evaluate polynomials at a given value.

Zeros of a Polynomial

Values of x for which the polynomial equals zero.

Compounded Quarterly

Interest calculated four times a year.

Logarithm

The exponent by which a base must be raised to yield a given number.

Extraneous Solution

A solution that emerges from the process of solving a problem but is not valid in the original scenario.

Domain

The set of possible input values (x-values) for a function.

Horizontal Asymptote

A horizontal line that the graph of a function approaches as x approaches infinity or negative infinity.

Synthetic Division

A shorthand method of polynomial division in which the coefficients are used.

Factored Form

A way of expressing a polynomial as the product of its linear factors.

Inverse Function

A function that reverses the effect of the original function.

Polynomial Degree

The highest power of the variable in a polynomial.

Turning Points

Points where the graph of a function changes direction.

Slant Asymptote

An oblique asymptote to a curve that is not horizontal or vertical.

Remainder Theorem

A theorem that provides a quick way to evaluate polynomials at a given value.

Zeros of a Polynomial

Values of x for which the polynomial equals zero.

Vertical Asymptote

A vertical line that the graph of a function approaches as x approaches a certain finite value.

End Behavior of a Polynomial Function

The behavior of the graph of a polynomial function as x approaches positive infinity or negative infinity.

Factor Theorem

(x-c) is a factor of the polynomial P(x) if and only if P(c) = 0.