4. Interpret 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

How can you determine if a graph represents a function?

Back

A graph represents a function if every vertical line intersects the graph at most once, which is known as the vertical line test.

Front

What does g(2) = 3(2) + 1 represent?

Back

It represents the evaluation of the function g at x = 2, resulting in g(2) = 7.

Front

What does f(2) = 80 signify in a real-world context?

Back

It signifies that after 2 seconds, the output of the function f, which represents speed, is 80 mph.

Front

How do you evaluate a function at a specific point?

Back

To evaluate a function at a specific point, substitute the input value into the function's equation and simplify.

Front

What is the output of f(1) if f(x) = 5?

Back

The output is 5, as f(x) is a constant function.

Front

How do you find f(-2) if f(x) = x + 3?

Back

Substitute -2 into the function: f(-2) = -2 + 3 = 1.

Front

What is the significance of the input variable in function notation?

Back

The input variable represents the value for which the function is being evaluated, determining the output.

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input is associated with exactly one output.

Front

What does it mean for a function to be linear?

Back

A linear function is a function that can be graphically represented as a straight line, typically in the form f(x) = mx + b.