Precalc 1.2

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

State the domain of the function f(x) = 1/(x-3).

Back

(-oo, 3) U (3, oo)

Front

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

Back

A graph represents a function if every x-value has exactly one corresponding y-value.

Front

State the domain of the function f(x) = sqrt(x-5).

Back

[5, oo)

Front

What is the domain of the function represented by the set of points {(0,2), (3,5), (5,8), (7, 11)}?

Back

{0,3,5,7}

Front

How do you determine the domain of a rational function?

Back

Identify values that make the denominator zero; these values are excluded from the domain.

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

State the domain of the function f(x) = 2x + 3.

Back

All real numbers, (-oo, oo)

Front

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

Back

The relation y^2 = x is not a function because for some x-values, there are two corresponding y-values.

Front

State the domain of the function f(x) = log(x-1).

Back

(1, oo)