25 Unit 2 Review

Front

What is the Lowest Common Denominator (LCD) for the fractions \(\frac{3x}{x+2}\) and \(\frac{6x+1}{(x+2)(x-5)}\)?

Back

The LCD is \((x+2)(x-5)\).

Front

Define an ASYMPTOTE.

Back

An asymptote is a line that a curve approaches as it heads towards infinity.

Front

What is the equation of the horizontal asymptote for a function that approaches the value 2 as x approaches infinity?

Back

The horizontal asymptote is \(y = 2\).

Front

Which rational function has a vertical asymptote at \(x = -3\)?

Back

The function is \(y = \frac{1}{x+3}\).

Front

If you have $10 in your bank account and it doubles every month, how much will you have after 5 months?

Back

You will have $310.

Front

What is the definition of a vertical asymptote?

Back

A vertical asymptote is a line \(x = a\) where a function approaches infinity or negative infinity.

Front

How do you find the horizontal asymptote of a rational function?

Back

To find the horizontal asymptote, compare the degrees of the numerator and denominator.

Front

What happens to a function as it approaches its vertical asymptote?

Back

The function's value increases or decreases without bound (approaches infinity or negative infinity).

Front

What is the general form of a rational function?

Back

A rational function is of the form \(f(x) = \frac{P(x)}{Q(x)}\), where P and Q are polynomials.

Front

What is the significance of the coefficients in the numerator and denominator of a rational function?

Back

The coefficients determine the end behavior and horizontal asymptote of the function.