BTC Day 2: 1.1a Domain, Range, & End Behavior

Front

What is the definition of Domain in a graph?

Back

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

Front

What is the definition of Range in a graph?

Back

The range of a graph is the set of all possible output values (y-values) that the function can produce.

Front

How do you find the Domain of a graph?

Back

The domain is found by reading the graph from left to right and identifying the x-values that the graph covers.

Front

How do you find the Range of a graph?

Back

The range is found by reading the graph from bottom to top and identifying the y-values that the graph covers.

Front

What does interval notation represent?

Back

Interval notation is a way of writing subsets of the real number line, using parentheses and brackets to indicate whether endpoints are included.

Front

What does a closed interval [a, b] mean?

Back

A closed interval [a, b] includes both endpoints a and b.

Front

What does an open interval (a, b) mean?

Back

An open interval (a, b) does not include the endpoints a and b.

Front

What does a half-open interval [a, b) mean?

Back

A half-open interval [a, b) includes the endpoint a but not the endpoint b.

Front

What is the domain of the function f(x) = 1/x?

Back

The domain is all real numbers except x = 0, which can be written in interval notation as (-∞, 0) ∪ (0, ∞).

Front

What is the range of the function f(x) = x^2?

Back

The range is all real numbers y such that y ≥ 0, which can be written in interval notation as [0, ∞).