MVP 2 Review

Front

What is a nonlinear function?

Back

A nonlinear function is a function that does not create a straight line when graphed. Its rate of change is not constant, and it can be represented by equations that include exponents, roots, or other non-linear terms.

Front

How can you identify a nonlinear graph?

Back

A nonlinear graph can be identified by its curved shape. Unlike linear graphs, which form straight lines, nonlinear graphs may have curves, bends, or changes in direction.

Front

What is the relationship between rain and ticket sales at a theme park?

Back

As the hours of rain each day increases, the number of tickets sold decreases. This indicates an inverse relationship between the two variables.

Front

What does a scatter plot represent?

Back

A scatter plot is a graph that shows the relationship between two quantitative variables. Each point on the plot represents an observation.

Front

What is the purpose of a best-fit line in a scatter plot?

Back

A best-fit line, or trend line, is used to summarize the relationship between the variables in a scatter plot. It helps to visualize the trend and make predictions.

Front

What is the definition of a function in mathematics?

Back

A function is a relation that assigns exactly one output for each input. It can be represented as an equation, a graph, or a table.

Front

What is the difference between linear and nonlinear functions?

Back

Linear functions have a constant rate of change and graph as straight lines, while nonlinear functions have varying rates of change and graph as curves.

Front

What is an example of a nonlinear equation?

Back

An example of a nonlinear equation is y = x^2, which represents a parabola.

Front

How do you determine if a table represents a function?

Back

A table represents a function if each input (x-value) corresponds to exactly one output (y-value). No x-value should repeat with different y-values.

Front

What is the significance of the slope in a linear function?

Back

The slope of a linear function indicates the rate of change of the dependent variable with respect to the independent variable. It shows how steep the line is.