Precalc Test 4.1-4.4

Front

What is the proper way to write the answer for the polynomial expression?

Back

2x^3 - x^2 - 25x - 12

Front

What is a vertical asymptote?

Back

A vertical asymptote is a line x = a where a function approaches infinity or negative infinity as x approaches a.

Front

What are the vertical asymptotes of the function f(x)?

Back

x = 5, x = -5

Front

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

Back

For rational functions, the horizontal asymptote can be found by comparing the degrees of the numerator and denominator.

Front

What is the horizontal asymptote of the function f(x) = \frac{x^2 - 25}{x^2 - 12x + 32}?

Back

y = 1

Front

What does end behavior refer to in a function?

Back

End behavior describes how a function behaves as x approaches positive or negative infinity.

Front

Complete the end behavior: As x → -∞, f(x) → ____; As x → +∞, f(x) → ____

Back

As x → -∞, f(x) → +∞; As x → +∞, f(x) → +∞

Front

What is factored form of a polynomial?

Back

Factored form expresses a polynomial as a product of its factors.

Front

What is the factored form of the graph represented by f(x)?

Back

f(x) = (x + 4)(x + 1)^2(x - 2)(x - 4)

Front

What is the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the polynomial.