Algebra 2 Semester 1 Test

Front

What is interval notation?

Back

Interval notation is a way of representing a range of numbers on the number line using parentheses and brackets. Parentheses indicate that the endpoint is not included, while brackets indicate that the endpoint is included.

Front

How do you express x < 8 in interval notation?

Back

(-∞, 8) represents all numbers less than 8.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

What is the domain of the function represented by the graph that covers all x-values?

Back

The domain is (-∞, +∞), meaning all real numbers.

Front

How do you express the interval from -5 to infinity in interval notation?

Back

[-5, ∞) indicates that -5 is included and all numbers greater than -5 are included.

Front

What does the notation (a, b) mean in interval notation?

Back

(a, b) means all numbers between a and b, not including a and b.

Front

What does the notation [a, b] mean in interval notation?

Back

[a, b] means all numbers between a and b, including a and b.

Front

What is a rational function?

Back

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

Front

What is the general form of a rational function?

Back

Front

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

Back

The vertical asymptote occurs where the denominator Q(x) = 0, provided that P(x) is not also zero at that point.