Function Notation Practice

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

If f(x) = 3x - 9, what is f(5)?

Back

f(5) = 6

Front

How do you determine if a graph represents a function?

Back

A graph represents a function if every vertical line intersects the graph at most once (Vertical Line Test).

Front

What does it mean for two function values to be equal, such as H(2) = H(4)?

Back

It means that the output of the function H for the input 2 is the same as the output for the input 4.

Front

What is the output of a function when the input is 3, if f(x) = 2x + 2?

Back

f(3) = 2(3) + 2 = 8.

Front

What is the definition of a function?

Back

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

Front

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

Back

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

Front

What does it mean if a function is increasing?

Back

A function is increasing if, as the input values increase, the output values also increase.

Front

What is the value of x when f(x) = 5 if f(x) = 2x + 1?

Back

To find x, set 2x + 1 = 5. Solving gives x = 2.

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.