Unit 4 Review

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce based on its domain (input values).

Front

Define the term 'average rate of change'.

Back

The average rate of change of a function over an interval is the change in the function's value divided by the change in the input value, often represented as the slope of the secant line between two points on the graph.

Front

What does the notation c(x) represent in a function?

Back

c(x) represents the output of the function c when the input is x. It is a way to express the relationship between input and output in a function.

Front

What is the significance of the slope in a graph?

Back

The slope of a graph indicates the rate of change of the dependent variable with respect to the independent variable. A positive slope means the function is increasing, while a negative slope means it is decreasing.

Front

What does it mean if a function is increasing on an interval?

Back

A function is increasing on an interval if, for any two points in that interval, the output value at the second point is greater than the output value at the first point.

Front

What is a false statement in the context of mathematical functions?

Back

A false statement is one that does not accurately represent the properties or values of a function, such as incorrect outputs for given inputs.

Front

How do you determine if a statement about a function is true or false?

Back

To determine if a statement about a function is true or false, you can evaluate the function at specific points and compare the results to the claims made in the statement.

Front

What does g(3) = 6 imply about the function g?

Back

It implies that when the input to the function g is 3, the output is 6. This is a specific point on the graph of the function.

Front

What is the relationship between input and output in a function?

Back

In a function, each input (x-value) is associated with exactly one output (y-value). This relationship defines the function's behavior.

Front

What does it mean for a function to have a negative average rate of change?

Back

A negative average rate of change means that as the input increases, the output decreases, indicating a downward trend in the function's graph.