Function Notation in Context

Front

What does the function notation B(t) represent in the context of a bathtub filling scenario?

Back

B(t) represents the depth of the water in inches, t minutes after the bathtub begins to fill.

Front

Explain the meaning of B(9) = 11 in the context of the bathtub scenario.

Back

At 9 minutes after filling the bathtub, the depth of the water was 11 inches.

Front

What does the function h(t) represent in the context of plant growth?

Back

h(t) represents the height of a plant in inches after t weeks.

Front

What does h(4) = 5 signify in terms of plant height?

Back

After 4 weeks, the plant is 5 inches tall.

Front

What does it mean to find f(1) in function notation?

Back

Finding f(1) means to evaluate the function f at x = 1.

Front

If a question asks you to find f(2), what does that imply?

Back

It implies that you need to evaluate the function f at x = 2.

Front

What is the result of f(2) if f(2) = 5?

Back

The value of the function f at x = 2 is 5.

Front

How do you interpret the notation f(x)?

Back

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

Front

What is the significance of function notation in real-world applications?

Back

Function notation allows us to model and analyze relationships between variables in various contexts.

Front

What is the general form of a function?

Back

A function is typically expressed as f(x) = expression involving x.