ALG.2: FLASHCARD Unit 2 Lessons 16-22

Front

What are end behaviors in the context of functions?

Back

End behaviors describe how the values of a function behave as the input (x) approaches positive or negative infinity.

Front

Back

The graph approaches y=5.

Front

What is the equation of a rational function?

Back

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

Front

What is the average cost formula for producing goods?

Back

Average cost = (Total fixed costs + Total variable costs) / Number of goods produced.

Front

If a firm spends $50,000 on fixed costs and $5 on raw materials per product, what is the average cost for producing 5000 goods?

Back

The average cost is $15.

Front

How do you solve for x in an equation?

Back

To solve for x, isolate x on one side of the equation using algebraic operations.

Front

What is the solution for x in the equation 2x + 8 = 0?

Back

x = -4.

Front

What does the average cost function A = \frac{3s + 50}{s} represent?

Back

It represents the average cost per sticker when s stickers are made.

Front

As the number of stickers (s) increases, what does the average cost approach in the function A = \frac{3s + 50}{s}?

Back

The average cost approaches $3.

Front

What is the significance of the horizontal asymptote in a rational function?

Back

The horizontal asymptote indicates the value that the function approaches as x approaches infinity.