Function Notation

Front

What is function notation?

Back

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

Front

What does f(-3) represent in function notation?

Back

f(-3) represents the output of the function f when the input is -3.

Front

If h(t) represents the height of a plant after t weeks, what does h(4) = 5 mean?

Back

It means that after 4 weeks, the height of the plant is 5 inches.

Front

How do you evaluate a function at a specific value, such as f(2)?

Back

To evaluate f(2), substitute 2 for the variable x in the function's expression.

Front

What is the significance of the notation g(x)?

Back

g(x) represents a function named g, where x is the input variable.

Front

If f(x) = -4x - 5, what is f(1)?

Back

f(1) = -4(1) - 5 = -9.

Front

What does it mean to find the value of x when f(x) = 19?

Back

It means to solve the equation f(x) = 19 for the variable x.

Front

What is the output of g(-4) if g(x) = 3 - x?

Back

g(-4) = 3 - (-4) = 7.

Front

What does the notation f(x) = 19 imply about the function f?

Back

It implies that the output of the function f is 19 for some input value x.

Front

How do you interpret the function notation f(x) in a real-world context?

Back

f(x) can represent various real-world quantities, such as distance, height, or cost, depending on the context of the problem.