Function Notation Practice

Front

What is function notation?

Back

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

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-value, there is one and only one corresponding y-value.

Front

What is the vertical line test?

Back

The vertical line test is a method used to determine if a relation is a function. If a vertical line intersects the graph of the relation at more than one point, it is not a function.

Front

Is the set {(1, 2), (2, 3), (3, 4)} a function?

Back

Yes, this set is a function because each input (x-value) has a unique output (y-value).

Front

Is the set {(1, 2), (1, 3), (2, 4)} a function?

Back

No, this set is not a function because the input 1 corresponds to two different outputs (2 and 3).

Front

If f(x) = 2x + 3, what is f(0)?

Back

f(0) = 2(0) + 3 = 3.

Front

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

Back

f(3) = 3^2 = 9.

Front

What does it mean for a relation to be not a function?

Back

A relation is not a function if at least one input is associated with more than one output.

Front

If f(x) = -x + 4, find f(2).

Back

f(2) = -2 + 4 = 2.

Front

What is the output of f(x) = 3x - 5 when x = 1?

Back

f(1) = 3(1) - 5 = -2.