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Chapter 3: Q 371. (page 344)

a) Graph each function. b) State its domain and range. Write the domain and range in interval notation.

f(x)=x-1

Short Answer

Expert verified

Domain of the function is [1,鈭�)and range of the function are[1,鈭�).

Step by step solution

01

Step 1. Given Information

The given function isf(x)=x-1

02

Step 2. Formation of ordered pairs

Its not a linear function. The table can be created with different values of x. The ordered pairs can be formed. The graph creation can be done by connecting and plot it.

x
y=f(x)
(x,y)

1		y=1-1鈫�y=0
(1,0)
5
y=5-1鈫�y=2
(5,2)
10
y=10-1鈫�y=3
(10,3)
17
y=17-1鈫�y=4
(17,4)
03

Step 3. Graph of the function

The graph can be drawn as,

04

Step 4. Domain and range

Given function is a square root function, domain of square root function is value set at argument is non-zero. Domain of the function is [1,鈭�). Given function is square root function whose graph has y-positive values, range is all real numbers which is equal to or greater than zero. Range of the function is [1,鈭�).

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