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3.8 Homework Day 1 Graphing Absolution Value Functions

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Last updated about 2 years ago
8 questions
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10
4
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4
1
1
1
Question 1
1.
Determine the requested information from the graph:

The function is positive: _______ (everywhere or nowhere)

The function is negative over the domain:
_______ {\lt x \lt}_______

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}_______
Question 2
2.
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}_______
Question 3
3.
Graph the function on paper: {r(x)=|x|+5}

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

What is the range? { y \ge}_______

Upload your graph below: _______ (Leave this box empty)
Question 4
4.
Graph the function on paper: {r(x)=|x-3|}

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

What is the range? { y \ge}_______

Upload your graph below: _______ (Leave this box empty)
Question 5
5.
Graph the function on paper: {j(x)=3|x|}

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

What is the range? { y \ge}_______

Upload your graph below: _______ (Leave this box empty)
Question 6
6.
Write an equation that represents the given transformation of the graph of {g(x) = ∣ x ∣}.

Horizontal translation 10 units left;

{g(x)=} _______
Question 7
7.
Write an equation that represents the given transformation of the graph of {g(x) = ∣ x ∣}.

Reflection in the y-axis;

{g(x)=} _______
Question 8
8.
Write an equation that represents the given transformation of the graph of {g(x) = ∣ x ∣}.

Horizontal stretch by a factor of 3;

{g(x)=} _______