Evaluating Functions and Function Notation

Front

What is a function?

Back

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

Front

What does f(x) represent in function notation?

Back

f(x) represents the output of the function f for a given input x.

Front

How do you evaluate a function at a specific point?

Back

To evaluate a function at a specific point, substitute the input value into the function's equation.

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 (f(x) values) that the function can produce.

Front

If f(2) = 4, what does this tell us?

Back

This tells us that when the input is 2, the output of the function f is 4.

Front

What is the notation for a function that takes an input x and produces an output y?

Back

The notation is y = f(x).

Front

How do you find the value of f(0) if f(x) = 2x + 4?

Back

Substitute 0 for x: f(0) = 2(0) + 4 = 4.

Front

What does c(7) represent in the function c(m) = 1.45m + 3.50?

Back

c(7) represents the cost to ride the taxi for 7 miles.

Front

What is the significance of the point (2, 4) in relation to the function f?

Back

The point (2, 4) indicates that when x is 2, the output f(x) is 4.