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) = 2x + 3, what is f(1)?

Back

f(1) = 2(1) + 3 = 5.

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

What does it mean for a function to be defined by ordered pairs?

Back

A function defined by ordered pairs consists of pairs of input (x) and output (y) values, indicating the relationship between them.

Front

If f(x) = 3 for all x, what is the domain and range?

Back

Domain: All real numbers; Range: {3}.

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.

Front

What is an example of a function with a finite domain?

Back

f(x) = 1/x is a function with a finite domain excluding x = 0.

Front

What is an example of a function with an infinite range?

Back

f(x) = x^2 has a range of [0, ∞) which is infinite.