Functions

Front

What is the name of the test that we do on a graph to see if it is a function?

Back

Vertical Line Test

Front

What does the Vertical Line Test determine?

Back

If a graph represents a function, a vertical line drawn through the graph should intersect it at most once.

Front

Is the graph of a circle a function?

Back

Not a Function

Front

What is a function?

Back

A relation where each input has exactly one output.

Front

What is the definition of a mapping in mathematics?

Back

A mapping is a relation that assigns each element from one set to exactly one element in another set.

Front

Which of the following is a function? (9,5) (10,5) (9,-5) (10,-5), (3,4) (4,-3) (7,4) (3, 8), (6,-5) (7, -3) (8, -1) (9, 1), (2, -2) (5, 9) (5, -7) (1, 4)

Back

(6,-5) (7, -3) (8, -1) (9, 1)

Front

What is the output of the function f(x) = 2x + 3 when x = 4?

Back

f(4) = 2(4) + 3 = 11

Front

What is the domain of a function?

Back

The set of all possible input values (x-values) for the function.

Front

What is the range of a function?

Back

The set of all possible output values (y-values) for the function.

Front

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

Back

f(-3) = (-3)^2 = 9