6.3 – Square Root Functions and Inequalities. Initial Point: (, k) and k are the horizontal and vertical shifts from the origin a value If a is negative.

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Presentation transcript:

6.3 – Square Root Functions and Inequalities

Initial Point: (, k) and k are the horizontal and vertical shifts from the origin a value If a is negative the graph opens downward Also determines direction of inequality for range (with k) If > 1 then graph is stretched vertically If 0 < < 1 then the graph is compressed vertically Domain: x ≥

Example 1: Identify the domain and range of

Example 2: Identify the domain and range of

Example 3: Graph the function. State the domain and range.

Example 4: Graph the function. State the domain and range.

6.3 – Cube Root Functions and Inequalities

Middle/Turning Point: (, k) and k are the horizontal and vertical shifts from the origin a value If a is negative the end behaviors are opposites If > 1 then graph is stretched vertically If 0 < < 1 then the graph is compressed vertically Domain and Range are both all real numbers

Example 5: Graph the function. State the domain and range.

Example 6:

Graphing Inequalities -Graph the problem like previous examples -Determine if the line should be dashed or solid -Shade either above or below the curve