Graphing Sq Rt, Cubic and Cubed Root Equations

Front

What is the general form of a cubic root function?

Back

A cubic root function can be expressed as @@f(x) = oot{3}{x} + k@@, where k is a constant that shifts the graph vertically.

Front

How does the graph of @@f(x) = oot{3}{x}@@ behave as x approaches positive and negative infinity?

Back

Front

What effect does adding a constant to a cubic root function have on its graph?

Back

Adding a constant shifts the graph vertically. For example, @@f(x) = oot{3}{x} + 2@@ shifts the graph up by 2 units.

Front

What is the effect of subtracting a constant from the input of a cubic root function?

Back

Subtracting a constant from the input shifts the graph horizontally. For example, @@f(x) = oot{3}{x - 3}@@ shifts the graph to the right by 3 units.

Front

What is the domain of the function @@f(x) = oot{3}{x}@@?

Back

Front

What is the range of the function @@f(x) = oot{3}{x}@@?

Back

Front

What is the general form of a square root function?

Back

A square root function can be expressed as @@f(x) = oot{2}{x} + k@@, where k is a constant that shifts the graph vertically.

Front

How does the graph of @@f(x) = oot{2}{x}@@ behave as x approaches zero?

Back

Front

What effect does adding a constant to a square root function have on its graph?

Back

Adding a constant shifts the graph vertically. For example, @@f(x) = oot{2}{x} + 3@@ shifts the graph up by 3 units.

Front

What is the effect of subtracting a constant from the input of a square root function?

Back

Subtracting a constant from the input shifts the graph horizontally. For example, @@f(x) = oot{2}{x - 4}@@ shifts the graph to the right by 4 units.