3.8 Homework Day 1 Graphing Absolution Value Functions

Determine the requested information from the graph:

The function is positive over the domain:

{\lt x \lt}

The function is negative over the domain:

{x \lt} and { x \gt}

The function is increasing over the domain:

\lt x \lt

The function is decreasing over the domain:

{\lt x \lt}

End Behavior:

{as \space x \rightarrow -\infty \space , \space y \rightarrow}

{as \space x \rightarrow \infty \space , \space y \rightarrow}

Graph the function on paper: {r(x)=|x|+5}

What is the domain? {\lt x \lt}

What is the range? { y \ge}

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Graph the function on paper: {r(x)=|x-3|}

What is the domain? {\lt x \lt}

What is the range? { y \ge}

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Graph the function on paper: {j(x)=3|x|}

What is the domain? {\lt x \lt}

What is the range? { y \ge}

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Write an equation that represents the given transformation of the graph of {g(x) = ∣ x ∣}.

Horizontal translation 10 units left;

{g(x)=}

Write an equation that represents the given transformation of the graph of {g(x) = ∣ x ∣}.

Reflection in the y-axis;

{g(x)=}

Write an equation that represents the given transformation of the graph of {g(x) = ∣ x ∣}.

Horizontal stretch by a factor of 3;

{g(x)=}