62 Radical Key Features + Review

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined. For example, the domain of the function f(x) = 1/x is all real numbers except x = 0.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce. For example, the range of the function f(x) = x^2 is all non-negative real numbers.

Front

What is a y-intercept?

Back

The y-intercept of a function is the point where the graph of the function crosses the y-axis. It occurs when x = 0. For example, in the function f(x) = 2x + 3, the y-intercept is (0, 3).

Front

What is an x-intercept?

Back

The x-intercept of a function is the point where the graph of the function crosses the x-axis. It occurs when y = 0. For example, in the function f(x) = x - 1, the x-intercept is (1, 0).

Front

What does it mean for a function to be continuous?

Back

A function is continuous if there are no breaks, jumps, or holes in its graph. This means that you can draw the graph without lifting your pencil.

Front

What is a vertical asymptote?

Back

A vertical asymptote is a line x = a where the function approaches infinity or negative infinity as x approaches a. For example, the function f(x) = 1/(x-2) has a vertical asymptote at x = 2.

Front

What is a horizontal asymptote?

Back

A horizontal asymptote is a line y = b that the graph of a function approaches as x approaches infinity or negative infinity. For example, the function f(x) = 1/x has a horizontal asymptote at y = 0.

Front

What is a function?

Back

A function is a relation that assigns exactly one output value for each input value. For example, f(x) = x + 2 is a function because for every x, there is one corresponding f(x).

Front

What is a linear function?

Back

A linear function is a function that can be graphically represented as a straight line. It has the form f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

What is a quadratic function?

Back

A quadratic function is a function that can be expressed in the form f(x) = ax^2 + bx + c, where a, b, and c are constants and a ≠ 0. Its graph is a parabola.