Alg 1 P 6 Flashcard 3 PC. Function BASICS Evaluating Functions

Front

What is the definition of a function?

Back

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

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 function f(x) = {(1, 2), (2, 3), (3, 4)}, what is the domain?

Back

Domain: {1, 2, 3}.

Front

Given the function f(x) = {(1, 2), (2, 3), (3, 4)}, what is the range?

Back

Range: {2, 3, 4}.

Front

What does it mean for a function to be one-to-one?

Back

A function is one-to-one if each output value is associated with exactly one input value.

Front

What is an ordered pair in the context of functions?

Back

An ordered pair is a pair of numbers (x, y) that represents a point on the graph of a function.

Front

How do you evaluate a function at a specific value?

Back

To evaluate a function at a specific value, substitute the value into the function's equation and simplify.

Front

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

Back

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

Front

What is the vertical line test?

Back

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