Algebra 2
Name___________________________________
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Graphing Square Root Functions
Period____
Identify the domain and range of each. Then sketch the graph.
1) y =
x
2) y = -2
x+1
y
-8
-6
-4
3) y = -3
y
8
8
6
6
4
4
2
2
-2
2
4
6
8 x
-8
-6
-4
-2
-2
-2
-4
-4
-6
-6
-8
-8
x+1+4
4) y =
-6
5) y =
-4
1
2
8
6
6
4
4
2
2
2
4
6
8 x
-8
-6
-4
-2
-2
-2
-4
-4
-6
-6
-8
-8
x
6) y = -2 +
3
4
-6
-4
2
4
6
8 x
2
4
6
8 x
y
8
8
6
6
4
4
2
2
-2
8 x
x
y
-8
6
y
8
-2
4
x+4-1
y
-8
2
2
4
6
8 x
-8
-6
-4
-2
-2
-2
-4
-4
-6
-6
-8
-8
Worksheet by Kuta Software LLC
-1-
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7) y =
x+5-1
8) y =
x-1
y
-8
-6
9) y =
-4
1
2
y
8
8
6
6
4
4
2
2
-2
2
4
6
8 x
-8
-6
-4
-2
2
-2
-2
-4
-4
-6
-6
-8
-8
10) y = -5
x-2+2
4
6
8 x
4
6
8 x
4
6
8 x
x-4+4
y
8
y
8
6
6
4
4
2
2
-8
-8
-6
-4
-2
2
4
6
-6
-4
-2
2
-2
8 x
-2
-4
-4
-6
-6
-8
-8
11) y =
x+1+2
12) y = 4
x-2-3
y
-8
-6
-4
y
8
8
6
6
4
4
2
2
-2
2
4
6
8 x
-8
-6
-4
-2
2
-2
-2
-4
-4
-6
-6
-8
-8
Worksheet by Kuta Software LLC
-2-
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Algebra 2
Name___________________________________
©N V2l0d1`6] pKhuVtBaH eSHo_fdtXwtaar[eR OLeLuCd.u V UAnlrlA xruipgXhNtmsH frBewsdevr\vje]db.
Graphing Square Root Functions
Period____
Identify the domain and range of each. Then sketch the graph.
1) y =
x
2) y = -2
y
-6
-4
3) y = -3
6
4
4
2
2
-2
2
4
6
5) y =
-4
1
2
-2
2
-6
-6
-8
-8
4) y =
4
4
2
2
4
6
8 x
-8
-6
-4
-2
-2
-4
-4
-6
-6
-8
-8
6) y = -2 +
3
4
8 x
Domain: x ³ 0
Range: y ³ -2
8
6
4
4
2
2
6
6
x
6
4
4
y
Domain: x ³ 0
Range: y ³ 0
2
Domain: x ³ -4
Range: y ³ -1
2
-2
-2
8 x
y
6
2
6
8
6
-2
4
x+4-1
Domain: x ³ -1
Range: y £ 4
x
-4
-4
-4
y
-6
-6
-4
8
-8
-8
-2
y
-6
8 x
-2
x+1+4
Domain: x ³ -1
Range: y £ 0
8
6
8
-8
y
Domain: x ³ 0
Range: y ³ 0
8
-8
x+1
8 x
-8
-6
-4
-2
2
-2
-2
-4
-4
-6
-6
-8
-8
4
6
8 x
Worksheet by Kuta Software LLC
-1-
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7) y =
x+5-1
8) y =
y
-6
9) y =
-4
1
2
y
Domain: x ³ -5
Range: y ³ -1
8
-8
x-1
6
6
4
4
2
2
-2
2
4
6
8 x
-8
-6
-4
-2
2
-2
-2
-4
-4
-6
-6
-8
-8
10) y = -5
x-2+2
Domain: x ³ 1
Range: y ³ 0
8
4
6
x-4+4
y
Domain: x ³ 4
Range: y £ 4
8
y
Domain: x ³ 2
Range: y ³ 2
8
8 x
6
6
4
4
2
2
-8
-8
-6
-4
-2
2
4
6
-6
-4
-2
2
4
6
8 x
-2
8 x
-2
-4
-4
-6
-6
-8
-8
11) y =
x+1+2
12) y = 4
y
-6
-4
y
Domain: x ³ -1
Range: y ³ 2
8
-8
x-2-3
6
6
4
4
2
2
-2
2
4
6
Domain: x ³ 2
Range: y ³ -3
8
8 x
-8
-6
-4
-2
2
-2
-2
-4
-4
-6
-6
-8
-8
4
6
8 x
Worksheet by Kuta Software LLC
-2-
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