Absolute Value & Piecewise Graphs

Front

What is the definition of absolute value?

Back

The absolute value of a number is its distance from zero on the number line, regardless of direction. It is denoted as |x|.

Tags

CCSS.6.NS.C.7C

Front

How does the graph of y = |x| transform when we subtract a constant?

Back

The graph slides down by the value of the constant subtracted.

Front

What is the parent function of absolute value?

Back

The parent function of absolute value is f(x) = |x|.

Front

What effect does adding a constant to the absolute value function have on its graph?

Back

Adding a constant to the function moves the graph up by that constant value.

Front

What does the expression |x - a| represent in terms of graph transformation?

Back

The expression |x - a| represents a horizontal shift of the graph to the right by 'a' units.

Front

If g(x) = |x + 2|, how does this graph compare to the parent function?

Back

The graph of g(x) = |x + 2| is shifted left by 2 units compared to the parent function.

Front

What is the maximum value of a piecewise function?

Back

The maximum value of a piecewise function is the highest output value among all defined pieces of the function.

Tags

CCSS.HSF-IF.C.7B

Front

How do you determine the vertex of the graph of an absolute value function?

Back

The vertex of the graph of an absolute value function y = |x - h| + k is the point (h, k).

Tags

CCSS.HSF-IF.C.7D

Front

What is the effect of a negative sign in front of the absolute value function, such as in y = -|x|?

Back

A negative sign in front of the absolute value function reflects the graph across the x-axis.

Front

How do you graph a piecewise function?

Back

To graph a piecewise function, plot each piece according to its defined interval and ensure to indicate open or closed endpoints.

Tags

CCSS.HSF-IF.C.7B