Function Notation Review

Front

What is function notation?

Back

Function notation is a way to represent a function using symbols. It typically uses the format f(x), where 'f' is the name of the function and 'x' is the input variable.

Front

Evaluate f(1) if f(x) = 2x.

Back

f(1) = 2(1) = 2.

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input. In other words, for every x in the domain, there is one and only one y in the range.

Front

Identify if the following set is a function: (2,3), (2,4), (3,5).

Back

No, this set is not a function because the input '2' corresponds to two different outputs (3 and 4).

Front

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

Back

f(2) = 3(2) + 1 = 7.

Front

What does it mean for a relation to be a function?

Back

A relation is a function if no two ordered pairs have the same first element (input) with different second elements (outputs).

Front

Evaluate f(4) if f(x) = 4x + 5.

Back

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

Front

If f(x) = 9x + 2 and g(x) = -x + 5, find g(f(-1)).

Back

g(f(-1)) = g(9(-1) + 2) = g(-7) = -(-7) + 5 = 12.

Front

What is the output of f(x) = -4x + 7 when x = 3x - 2?

Back

f(3x - 2) = -4(3x - 2) + 7 = -12x + 8 + 7 = -12x + 15.

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.