Pre-Calc 1.1 - 1.3 Review

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

A graph represents a function if every x-value has exactly one corresponding y-value. This can be checked using the vertical line test.

Front

What does it mean for a relation to be a function?

Back

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

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a curve is a function. If a vertical line intersects the graph at more than one point, it is not a function.

Front

If f(x) = -2, how do you find x?

Back

To find x when f(x) = -2, you need to solve the equation f(x) = -2 for x.

Front

What is an example of a function that is not a function?

Back

An example of a relation that is not a function is {(1, 2), (1, 3)}, where the x-value 1 is paired with two different y-values.

Front

What is the difference between open and closed intervals?

Back

An open interval (a, b) does not include the endpoints a and b, while a closed interval [a, b] includes both endpoints.

Front

What does the notation [-1, ∞) represent?

Back

The notation [-1, ∞) represents a closed interval starting at -1 and extending to positive infinity, including -1 but not including infinity.

Front

How do you express the domain of a function graphically?

Back

The domain of a function can be expressed graphically by identifying the x-values that the graph covers.