Flashcard - Functions (Algebra 1)

Front

What is the range of the relation (9, -2), (4, 3), (8, 10), (-4, 8)?

Back

The range is the set of y-values: {-2, 3, 8, 10}.

Front

Is the relation {(1,5), (1,6), (1,7), (1,8), (1,9)} a function?

Back

No, it is not a function because the x-value 1 is associated with multiple y-values.

Front

For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.

Back

Domain: {0, 1, 2, -4}; Range: {1, -3, -4}.

Front

What is the definition of a function?

Back

A function is a relation where each x-value is associated with exactly one y-value.

Front

What is the domain of the relation (2, 3), (4, 5), (6, 7)?

Back

The domain is the set of x-values: {2, 4, 6}.

Front

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

Back

It means that each input (x-value) has exactly one output (y-value).

Front

Identify if the following is a function: {(2, 3), (2, 4), (3, 5)}

Back

Not a function, because the x-value 2 is associated with two different y-values.

Front

What is the range of the function f(x) = x^2 for x = {1, 2, 3}?

Back

The range is {1, 4, 9}.

Front

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

Back

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

Front

What is a vertical line test?

Back

A method to determine if a relation is a function by checking if any vertical line intersects the graph more than once.