Function Notation, Evaluating Functions, Domain & Range

Front

What is function notation?

Back

Function notation is a way to represent a function using symbols. It typically uses the letter 'f' followed by parentheses containing the variable, such as f(x).

Front

How do you evaluate a function?

Back

To evaluate a function, substitute the given input value into the function's equation and simplify to find the output.

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

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

Back

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

Front

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

Back

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

Front

For the function f(x) = 3x - 4, find f(1).

Back

f(1) = 3(1) - 4 = -1.

Front

If f(x) = x + 5, what is the value of x when f(x) = 10?

Back

x = 10 - 5 = 5.

Front

What is an ordered pair in relation to functions?

Back

An ordered pair is a pair of numbers (x, y) that represents a point on a graph, where 'x' is the input and 'y' is the output.

Front

How do you find the domain from a set of ordered pairs?

Back

The domain can be found by listing all the unique x-values from the ordered pairs.