Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

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 graph represents a function?

Back

You can determine if a graph represents a function by using the Vertical Line Test: if a vertical line intersects the graph at more than one point, it is not a function.

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 the notation [a, b) mean?

Back

The notation [a, b) means that 'a' is included in the interval (closed), while 'b' is not included (open).

Front

What does the notation (a, b) mean?

Back

The notation (a, b) means that both 'a' and 'b' are not included in the interval (open interval).

Front

What is the difference between domain in interval notation and inequality notation?

Back

Domain in interval notation uses brackets and parentheses to denote intervals, while inequality notation uses inequalities to describe the same set of values.

Front

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

Back

The range of the function f(x) = x^2 is [0, ∞) because the output values (y-values) are always non-negative.

Front

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

Back

The domain of the function f(x) = 1/x is all real numbers except x = 0, which can be written in interval notation as (-∞, 0) ∪ (0, ∞).