A.2A Readiness - Domain and Range - Linear Functions

Front

What is a function?

Back

A function is a relation that assigns exactly one output (y) for each input (x).

Front

Define domain in the context of functions.

Back

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

Front

Define range in the context of functions.

Back

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

Front

Back

The domain is all real numbers, denoted as \( (-\infty, \infty) \).

Front

Back

The range is all real numbers, denoted as \( (-\infty, \infty) \).

Front

How do you find the domain of a function from a graph?

Back

Identify the x-values for which the graph exists; these values make up the domain.

Front

How do you find the range of a function from a graph?

Back

Identify the y-values that the graph reaches; these values make up the range.

Front

Back

The domain is all real numbers except x = 0, denoted as \( (-\infty, 0) \cup (0, \infty) \).

Front

Back

The range is all real numbers except y = 0, denoted as \( (-\infty, 0) \cup (0, \infty) \).

Front

What is the maximum weight a plane can carry if it can carry 160,000 pounds and each container weighs 2,000 pounds?

Back

The maximum number of containers is 80, calculated as \( \frac{160,000}{2,000} = 80 \).