NC Math 1 Unit 5 Review

Front

What is function notation?

Back

Function notation is a way to represent functions in mathematics, typically using symbols like f(x) to denote the output of a function f for an input x.

Front

What does f(12) represent in the context of temperature?

Back

f(12) represents the temperature in degrees Celsius at 12 p.m. (noon) on a given day.

Front

How do you express that two function outputs are equal?

Back

You can express that two function outputs are equal using the notation f(a) = f(b), where a and b are the inputs.

Front

What does P(10) = 4 mean in the context of a bathtub's water height?

Back

P(10) = 4 means that after 10 minutes, the height of the water in the bathtub is 4 inches.

Front

How would you express that the temperature at 9 a.m. is the same as at 4 p.m.?

Back

You would express this as f(9) = f(16), indicating that the function outputs for these two times are equal.

Front

What does it mean if a function is defined as a relationship between two variables?

Back

It means that for each input (independent variable), there is exactly one output (dependent variable) that corresponds to it.

Front

What is the significance of the independent variable in a function?

Back

The independent variable is the input of the function, which you can control or change, and it determines the output.

Front

What is the dependent variable in a function?

Back

The dependent variable is the output of the function, which depends on the value of the independent variable.

Front

How can you determine the height of water in a bathtub after a certain time?

Back

You can determine the height by evaluating the function P at the given time, such as P(t) for time t.

Front

What does it mean if a function is increasing?

Back

A function is increasing if, as the input values increase, the output values also increase.