Level 445
Level 447

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Amplitude

The height (crest) or depth (trough) of a wave measured from the midline. It's value is half of the range.

Asymptote

An imaginary line on a graph that acts as a boundary line.

Crest

Highest point of a wave. (maximum y-value)

Domain

The ______________________ is all the possible INPUT, X, values.

Intercepts

The point(s) at which the graph intersects or touches the x-axis or y-axis.

Periodic Functions

Functions that repeat their values over a regular interval.

Period or Wavelength

The distance required for a function to complete one full cycle. The Greek letter λ (lambda) is used to represent wavelength. (Period = 2π/b)

Range

The difference between the greatest number and the least number in a set of data.

Transformation

a movement on the cartesian plane

Trough

Lowest point of a wave. (minimum y-value)

Undefined

when dividing a nonzero number by zero,

La Buena Onda

The graphs formed by sine and cosine functions...more commonly referred to as waves.

Cosine

The ratio of the adjacent side to the hypotenuse of a right triangle which means adjacent over hypotenuse,

sine

The ratio of the opposite side to the hypotenuse of a right triangle which means opposite over hypotenuse,

Tangent

The ratio of the opposite side to the adjacent side of a right triangle which means opposite over adjacent.

reciprocal

One of two numbers whose product is 1; it is also called multiplicative inverse.

Horizontal shift

Adding a constant to the x-value of a function shifts its graph horizontally.

Vertical shift

Adding a constant to the y-value of a function shifts its graph vertically.

vertical stretch

the parabola appears narrower when y= ax^2 and the absolute value of a is greater than 1

horizontal stretch

All y-coordinates are multiplied by a number less than 1. The points get closer to the x-axis (graph gets fatter).

absolute value

The distance of a number from zero on a number line; shown by | |

Parent (mother) Function

The original or most basic form of a function.

slope

The vertical change over the horizontal change.

Trigonometric Ratios

The comparison of two sides of a right triangle.

Inverse Sine

Domain: [-1,1] Range: [(-pi/2), (pi/2)]

Inverse Cosine

Domain: [-1,1] Range: [0,pi]

Inverse Tangent

Domain: all real numbers Range: ((-pi/2), (pi/2)).

Tangent

Domain: all real numbers besides pi/2+kpi, k is an integer. Range: All real numbers

cotangent

Domain: all real numbers besides kpi, k is an integer. Range: All real numbers.

secant

Domain: all real numbers besides pi/2+kpi, k is an integer. Range: (- infiniti, -1]U[1, infiniti).

cosecant

Domain: all real numbers besides kpi, k is an integer. Range: (-infiniti,-1]U[1, infiniti).