Relations & Functions Test

Front

What is the slope of the equation y = 8x + 5?

Back

The slope is 8, which can be expressed as 8/1.

Front

What are all of the x values or inputs in a relation called?

Back

Domain.

Front

Given the relation {(1, 7), (3, 8), (3, 6), (6, 5), (2, 11), (1, 4)}, is it a function?

Back

No, it is not a function because the x-value 3 is paired with two different y-values (8 and 6).

Front

Does the table represent a linear function if the slope is 4?

Back

Yes, it represents a linear function because it has a constant slope of 4.

Front

Is the mapping {(1, 7), (3, 8), (3, 6), (6, 5), (2, 11), (1, 4)} a function?

Back

No, it is not a function because the x-value 3 has two arrows meaning it is paired with two y-values.

Front

What is a function?

Back

A function is a relation where each input (x-value) is paired with exactly one output (y-value).

Front

What is the range of a function?

Back

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

Front

What does it mean for a relation to be linear?

Back

A relation is linear if it can be represented by a straight line on a graph, meaning it has a constant slope.

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What is the difference between domain and range?

Back

Domain refers to all possible input values (x-values), while range refers to all possible output values (y-values).