Algebra 1 Functions Test

Front

What is the definition of a function in mathematics?

Back

A function is a relation that assigns exactly one output for each input from its domain.

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 range of a function?

Back

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

Front

How can you determine if a relation is a function?

Back

A relation is a function if every input value corresponds to exactly one output value. This can be checked using the vertical line test.

Front

What does the vertical line test indicate?

Back

The vertical line test states that if a vertical line intersects a graph at more than one point, the relation is not a function.

Front

What is the solution to the equation 2x - 6 = 6?

Back

The solution is x = 6.

Front

What is an example of a function?

Back

An example of a function is f(x) = 2x + 3, where each input x has a unique output.

Front

What is a non-function relation?

Back

A non-function relation is a set of ordered pairs where at least one input value corresponds to multiple output values.

Front

What is the notation for the domain of a function?

Back

The domain is often expressed in interval notation, such as (-∞, ∞) for all real numbers.

Front

What is interval notation?

Back

Interval notation is a way of representing a range of numbers using parentheses and brackets, e.g., [a, b] or (a, b).