Math 102 - Sample Final Exam Study Notes

A function whose graph is a straight line. It can be represented by the equation y = mx + b, where m is the slope and b is the y-intercept.

The rate of change of a linear function, represented by 'm' in the equation y = mx + b. It indicates how much the y-value changes for every unit change in the x-value.

The point where the graph of a linear function intersects the y-axis. It is represented by 'b' in the equation y = mx + b.

A function where the independent variable appears in the exponent. It grows or decays at a constant rate.

A function that can be written in the form y = ax² + bx + c, where 'a', 'b', and 'c' are constants and 'a' is not equal to 0. Its graph is a parabola.

A form of a quadratic function that clearly shows the vertex of the parabola. It is written as y = a(x - h)² + k, where (h, k) represents the vertex.

Finding all the values of the variable that satisfy the inequality.

A way of representing a set of numbers using parentheses and brackets. It is used to express solutions to inequalities.

Breaking down a polynomial expression into a product of simpler expressions.

The set of all possible input values (x-values) for which the function is defined.

The point where the graph of a function intersects the x-axis. It is the value of x when y = 0.

The point where the graph of a function intersects the y-axis. It is the value of y when x = 0.

Changes made to the graph of a function, such as shifts, stretches, and reflections.

The property of a function where its graph is mirrored across a certain line or point.

A function where f(-x) = f(x) for all x in the domain. Its graph is symmetric about the y-axis.

A function where f(-x) = -f(x) for all x in the domain. Its graph is symmetric about the origin.

The highest power of the variable in a polynomial expression.

The coefficient of the term with the highest power of the variable in a polynomial expression.

The inverse function of an exponential function. It is written as y = logb(x), where b is the base of the logarithm. It finds the exponent to which the base must be raised to get x.

Finding the value of the variable that satisfies the logarithmic equation.

When a quantity decreases exponentially over time. The decay rate determines how quickly it decreases.

The rate at which a quantity decays continuously over time.

A unit of angle measurement based on the ratio of an arc length to its radius.

Functions that relate angles of a right triangle to the ratios of its sides.

The length of the line segment connecting two points.

An equation that describes all the points on a circle. It is written as (x - h)² + (y - k)² = r², where (h, k) is the center of the circle and r is the radius.