graphs of trig and rational

Front

What is the definition of a rational function?

Back

A rational function is a function that can be expressed as the quotient of two polynomials.

Front

What is the period of a trigonometric function?

Back

The period of a trigonometric function is the length of one complete cycle of the function.

Front

How do you find the vertical asymptotes of a rational function?

Back

Vertical asymptotes occur where the denominator of the rational function is equal to zero.

Front

What is the horizontal asymptote of a rational function?

Back

The horizontal asymptote is determined by the degrees of the numerator and denominator polynomials.

Front

What is the formula for the period of the sine function?

Back

The period of the sine function is 2π.

Front

What is the formula for the period of the cosine function?

Back

The period of the cosine function is also 2π.

Front

How do you simplify the expression (x²+11x+24)/(x²+4x-32)?

Back

The simplified form is (x+3)/(x-4).

Front

What is the definition of a polynomial function?

Back

A polynomial function is a function that is represented by a polynomial, which is a sum of terms consisting of a variable raised to a non-negative integer power.

Front

What is the difference between a removable and non-removable discontinuity?

Back

A removable discontinuity occurs when a factor cancels out in the function, while a non-removable discontinuity occurs where the function is undefined.

Front

How do you find the x-intercepts of a rational function?

Back

The x-intercepts are found by setting the numerator equal to zero and solving for x.