Unit 4 Review

Front

What is the 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 line connecting two points on the graph.

Front

What does a positive average rate of change indicate?

Back

A positive average rate of change indicates that the function is increasing over the interval.

Front

What does a negative average rate of change indicate?

Back

A negative average rate of change indicates that the function is decreasing over the interval.

Front

What is the significance of the slope in a graph?

Back

The slope of a line in a graph represents the rate of change of the dependent variable with respect to the independent variable.

Front

What does the notation n(x) represent in population studies?

Back

n(x) typically represents the population at a given year x.

Front

What does the notation r(x) represent in population studies?

Back

r(x) typically represents a reference or predicted population at a given year x.

Front

Back

The absolute value function represents the distance of x from -5 on the number line, always yielding a non-negative output.

Front

What is a minimum point in a graph?

Back

A minimum point is the lowest point on a graph, where the function changes from decreasing to increasing.

Front

What does it mean if two functions are equal at a certain point, such as n(1960) = r(1960)?

Back

It means that the populations predicted by both functions are the same at the year 1960.

Front

What is the importance of understanding false statements in mathematical reasoning?

Back

Identifying false statements helps in developing critical thinking and understanding the validity of mathematical claims.