HtNameGroup #Math 115 Fall 2019Problem 4- Absolute Value Function: Fill in the table for the function f(x) = x1. Thensketch its graph.f(x) = |x|X01235-1-2-3-5a. Rewrite the absolute value function f(x) = |x||piecewise-defined function.as af(x) lxl =b. State the domain and range of the absolute value function. Use interval notation.Domain:Range:c. On what intervals is the function... Increasing? Decreasing? Constant?Increasing:Decreasing:Constant:p. 13

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Asked Aug 31, 2019
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Ht
Name
Group #
Math 115 Fall 2019
Problem 4- Absolute Value Function: Fill in the table for the function f(x) = x1. Then
sketch its graph.
f(x) = |x|
X
0
1
2
3
5
-1
-2
-3
-5
a. Rewrite the absolute value function f(x) = |x||
piecewise-defined function.
as a
f(x) lxl =
b. State the domain and range of the absolute value function. Use interval notation.
Domain:
Range:
c. On what intervals is the function... Increasing? Decreasing? Constant?
Increasing:
Decreasing:
Constant:
p. 13
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Ht Name Group # Math 115 Fall 2019 Problem 4- Absolute Value Function: Fill in the table for the function f(x) = x1. Then sketch its graph. f(x) = |x| X 0 1 2 3 5 -1 -2 -3 -5 a. Rewrite the absolute value function f(x) = |x|| piecewise-defined function. as a f(x) lxl = b. State the domain and range of the absolute value function. Use interval notation. Domain: Range: c. On what intervals is the function... Increasing? Decreasing? Constant? Increasing: Decreasing: Constant: p. 13

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Expert Answer

Step 1

The given function is f(x) = |x|.

The table can be filled as follows.

f(x)=\x|
x
0
0
1
2
3
3
5
5
-1
1
-2
2
-3
3
-5
5
2MTTT||
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f(x)=\x| x 0 0 1 2 3 3 5 5 -1 1 -2 2 -3 3 -5 5 2MTTT||

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Step 2

Plot the function using the points from the table.

6
(5,5)
(5, 5)
(3, 3)
(3, 3)
(-2, 2)
(2,2)
(1,1)
(-1, 1)
(0, 0)
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6 (5,5) (5, 5) (3, 3) (3, 3) (-2, 2) (2,2) (1,1) (-1, 1) (0, 0)

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Step 3

(a) The given function as piece...

f(x)= x
ifx0
f(x)0
ifx 0
ifx0
-x
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f(x)= x ifx0 f(x)0 ifx 0 ifx0 -x

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