Quick Piecewise Test Review Activity

Front

What is a piecewise function?

Back

A piecewise function is a function that is defined by different expressions or formulas for different parts of its domain.

Front

How do you find the explicit formula for a sequence?

Back

To find the explicit formula for a sequence, identify the pattern in the sequence and express it in the form a_n = a + (n-1)d, where 'a' is the first term and 'd' is the common difference.

Front

What is the common difference in the sequence 25, 21, 17, 13?

Back

The common difference is -4.

Front

What are domain restrictions in piecewise functions?

Back

Domain restrictions specify the values of x for which a function is defined, often indicated by inequalities.

Front

How do you determine the slope of a line perpendicular to another line?

Back

The slope of a line perpendicular to another is the negative reciprocal of the original line's slope.

Front

What is the negative reciprocal of -6/5?

Back

The negative reciprocal of -6/5 is 5/6.

Front

What does a transformation of 'right 3, up 2' mean?

Back

It means to shift the graph of a function 3 units to the right and 2 units up.

Front

What is the general form of a linear equation?

Back

The general form of a linear equation is Ax + By = C, where A, B, and C are constants.

Front

How do you match a graph to its equation?

Back

To match a graph to its equation, analyze the slope, y-intercept, and any transformations applied to the basic function.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the rise over run (change in y over change in x).