Unit 4 Mid Unit Study Guide

Front

What is function notation?

Back

Function notation is a way to represent functions in mathematics, typically written as f(x), where f is the function name and x is the input variable.

Front

What does f(9) = f(16) signify in a temperature function?

Back

It signifies that the temperature at 9 a.m. is the same as the temperature at 4 p.m.

Front

How do you express the temperature at 12 p.m. using function notation?

Back

f(12) represents the temperature at 12 p.m.

Front

What does f(t) = 24 mean in the context of temperature?

Back

It means that at some time t after midnight, the temperature was 24 degrees Celsius.

Front

What is the vertical intercept in a graph?

Back

The vertical intercept is the value of the function when the input (x) is zero, representing the starting point of the function.

Front

If a tank is filled at a constant rate, what does the graph look like?

Back

The graph will show a straight line increasing over time until it reaches a certain volume.

Front

What happens to the graph when the tank is emptied at a constant rate?

Back

The graph will show a straight line decreasing over time as the volume of water decreases.

Front

What does it mean if a function is increasing?

Back

It means that as the input value increases, the output value also increases.

Front

What does it mean if a function is decreasing?

Back

It means that as the input value increases, the output value decreases.

Front

How can you determine the maximum volume of water in a tank from a graph?

Back

The maximum volume is found at the highest point on the graph before it starts to decrease.