Unit 2 Lessons 12-20 Flashcard

Front

What is a vertical asymptote?

Back

A vertical asymptote is a line x = a where a function approaches infinity or negative infinity as the input approaches a. It indicates that the function is undefined at that point.

Front

How do you find vertical asymptotes of a rational function?

Back

To find vertical asymptotes of a rational function, set the denominator equal to zero and solve for x. The values of x that make the denominator zero are the vertical asymptotes.

Front

Given the function f(x) = x^3/(x - 1), what is the vertical asymptote?

Back

The vertical asymptote is x = 1.

Front

What is polynomial long division?

Back

Polynomial long division is a method used to divide a polynomial by another polynomial, similar to numerical long division, resulting in a quotient and a remainder.

Front

Perform polynomial long division on (2x^3 + 5x^2 + 9) ÷ (x + 3). What is the result?

Back

The result is 2x^2 - x + 3.

Front

What is the remainder theorem?

Back

The remainder theorem states that if a polynomial f(x) is divided by (x - c), the remainder of that division is f(c).

Front

How do you determine the average cost per item?

Back

The average cost per item is determined by dividing the total cost by the number of items produced.

Front

If a company charges a fixed fee plus a variable cost per item, how can you express the total cost?

Back

The total cost can be expressed as Total Cost = Fixed Fee + (Variable Cost per Item × Number of Items).

Front

In the context of the art club's t-shirt design, what is the fixed fee?

Back

The fixed fee is $30 for materials.

Front

What is the variable cost per shirt in the art club's t-shirt design?

Back

The variable cost per shirt is $4.75.