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).

Tags

CCSS.8.F.A.1

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.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

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.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

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.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

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.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

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 \( \frac{160,000}{2,000} = 80 \).