Evaluating Functions

Front

Define a function.

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

What is function notation?

Back

Function notation is a way to denote functions using symbols, typically written as f(x), where 'f' is the function name and 'x' is the input variable.

Front

Evaluate the function f(x) = 2x + 3 at x = 5.

Back

f(5) = 2(5) + 3 = 10 + 3 = 13.

Front

What does it mean to evaluate a function?

Back

To evaluate a function means to calculate the output of the function for a given input value.

Front

If f(x) = x^2 - 1, find f(3).

Back

f(3) = 3^2 - 1 = 9 - 1 = 8.

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

If g(x) = 3x - 4, find g(0).

Back

g(0) = 3(0) - 4 = 0 - 4 = -4.

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

Evaluate h(n) = n^2 - 2 at n = -2.

Back

h(-2) = (-2)^2 - 2 = 4 - 2 = 2.

Front

If f(x) = 4x + 5, what is f(4)?

Back

f(4) = 4(4) + 5 = 16 + 5 = 21.