*Math 3 Vocabulary Flashcard #9*

Front

What is the general form of a sine function?

Back

The general form of a sine function is f(x) = A sin(Bx + C) + D, where A is the amplitude, B affects the period, C is the phase shift, and D is the vertical shift.

Front

What is a random sample in statistics?

Back

A random sample is a subset of individuals chosen from a larger set, where each individual has an equal chance of being selected, ensuring that the sample represents the population.

Front

What is an inverse function?

Back

An inverse function is a function that reverses the effect of the original function. If f(x) takes an input x to an output y, then the inverse function f⁻¹(y) takes y back to x.

Front

What is a relative maximum in a graph?

Back

A relative maximum is a point on a graph where the function value is higher than the values of the function at nearby points.

Front

What is a polynomial function?

Back

A polynomial function is a function that can be expressed in the form f(x) = a_nx^n + a_(n-1)x^(n-1) + ... + a_1x + a_0, where a_n, a_(n-1), ..., a_0 are constants and n is a non-negative integer.

Front

How do you find the roots of a polynomial function?

Back

The roots of a polynomial function are found by setting the function equal to zero and solving for x.

Front

What does it mean for a root to be a double root?

Back

A double root occurs when a root of a polynomial has a multiplicity of 2, meaning the factor corresponding to that root appears twice in the polynomial.

Front

What is the amplitude of a sine function?

Back

The amplitude of a sine function is the maximum distance from the midline of the graph to its peak or trough, represented by the absolute value of A in the function f(x) = A sin(Bx + C) + D.

Front

What is the period of a sine function?

Back

The period of a sine function is the distance along the x-axis required for the function to complete one full cycle, calculated as 2π/B, where B is the coefficient of x.

Front

What is a sampling method?

Back

A sampling method is a technique used to select individuals from a population to participate in a study, ensuring that the sample is representative of the population.