Scatterplot/Sequence/Piecewise Review

Front

What is a scatterplot?

Back

A scatterplot is a graph that shows the relationship between two variables by displaying data points on a two-dimensional plane.

Front

What is an arithmetic sequence?

Back

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant.

Front

How do you determine if a sequence is arithmetic?

Back

To determine if a sequence is arithmetic, check if the difference between each pair of consecutive terms is the same.

Front

What does the line of best fit represent in a scatterplot?

Back

The line of best fit represents the trend of the data points in a scatterplot, showing the overall direction of the relationship between the variables.

Front

What is a piecewise function?

Back

A piecewise function is a function that is defined by different expressions for different intervals of the input variable.

Front

How do you find the value of a function at a specific point, such as f(6)?

Back

To find f(6), substitute 6 into the function's equation and solve for the output.

Front

What is the formula for the nth term of an arithmetic sequence?

Back

The formula for the nth term of an arithmetic sequence is a_n = a_1 + (n-1)d, where a_1 is the first term and d is the common difference.

Front

What does it mean for a line to be a 'best fit' line?

Back

A 'best fit' line minimizes the distance between itself and all the data points in a scatterplot, providing the best approximation of the relationship.

Front

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

Back

The slope indicates the rate of change of the dependent variable with respect to the independent variable in a linear equation.

Front

How can you identify the correct equations for a piecewise function from a graph?

Back

To identify the correct equations for a piecewise function, analyze the graph's segments and determine the equations that match the behavior in each interval.