Function Notation

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

If f(x) = 2x + 1, what is f(1)?

Back

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

Front

What does f(4) = 65 mean in a real-world context?

Back

It means that the output of the function, which represents speed, is 65 mph at the input time of 4 seconds.

Front

What is the vertical line test?

Back

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

Front

What is the definition of a function?

Back

A function is a relation where every input has exactly one output.

Front

What does f(x) represent?

Back

f(x) represents the output of the function f for a given input x.

Front

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

Back

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

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

What does it mean for a function to be linear?

Back

A function is linear if it can be represented by a straight line on a graph, typically in the form f(x) = mx + b, where m is the slope and b is the y-intercept.