Domain, Range, Functions, & Evaluating Functions

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

Given the relation {(-5, 4), (-4, -1), (-2, 1), (0, 4), (1, 3)}, what is the domain?

Back

D = {-5, -4, -2, 0, 1}.

Front

Given the relation {(-5, 4), (-4, -1), (-2, 1), (0, 4), (1, 3)}, what is the range?

Back

R = {-1, 1, 3, 4}.

Front

What is a function?

Back

A function is a relation that assigns exactly one output value for each input value.

Front

How do you determine the domain of a function from a graph?

Back

The domain can be determined by identifying all the x-values that the graph covers.

Front

How do you determine the range of a function from a graph?

Back

The range can be determined by identifying all the y-values that the graph covers.

Front

What is the vertical line test?

Back

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

Front

If f(x) = 2x + 3, what is f(2)?

Back

f(2) = 2(2) + 3 = 7.

Front

If f(x) = x^2, what is the domain of f?

Back

The domain of f(x) = x^2 is all real numbers, R.