Function Notation

Front

What is function notation?

Back

Function notation is a way to represent functions 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(2) if f(x) = 5x - 2.

Back

f(2) = 5(2) - 2 = 10 - 2 = 8.

Front

Evaluate g(7) if g(x) = x².

Back

g(7) = 7² = 49.

Front

What is the sum of f(2) and g(7) if f(x) = 5x - 2 and g(x) = x²?

Back

f(2) + g(7) = 8 + 49 = 57.

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

Identify the range of the graph if the output values are {-5, -1, 0, 1, 5}.

Back

The range is {-5, -1, 0, 1, 5}.

Front

Evaluate j(-1) if j(x) = 2x + 3.

Back

j(-1) = 2(-1) + 3 = -2 + 3 = 1.

Front

Evaluate g(2) if g(x) = 3x + 1.

Back

g(2) = 3(2) + 1 = 6 + 1 = 7.

Front

What is a function?

Back

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

Front

How can you determine if a graph represents a function?

Back

A graph represents a function if any vertical line drawn through the graph intersects it at most once (Vertical Line Test).