Graphing Radicals
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8/16/2019 Graphing Radicals
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Worksheet by Kut
Kuta Software - Infinite Algebra 2
Name___________________________________
Period____Date________________Graphing Radicals
Identify the domain and range of each.
1) y = x − 2 + 5 2) y =
x + 2 − 3
3) y =3
x + 1 − 4 4) y =3
x − 1 − 1
Sketch the graph of each function.
5) y =
x + 5
x
y
−8 −6 −4 −2 2 4 6 8
−8
−6
−4
−2
2
4
6
8
6) y =
x − 2
x
y
−8 −6 −4 −2 2 4 6 8
−8
−6
−4
−2
2
4
6
8
7) y = 3 + x
x
y
−8 −6 −4 −2 2 4 6 8
−8
−6
−4
−2
2
4
6
8
8) y = x + 4
x
y
−8 −6 −4 −2 2 4 6 8
−8
−6
−4
−2
2
4
6
8
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8/16/2019 Graphing Radicals
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Worksheet by Kut
Kuta Software - Infinite Algebra 2
Name___________________________________
Period____Date________________Graphing Radicals
Identify the domain and range of each.
1) y = x − 2 + 5
Domain: x ≥ 2
Range: y ≥ 5
2) y = x + 2 − 3
Domain: x ≥ −2
Range: y ≥ −3
3) y =3
x + 1 − 4
Domain: { All real numbers. }
Range: { All real numbers. }
4) y =3
x − 1 − 1
Domain: { All real numbers. }
Range: { All real numbers. }
Sketch the graph of each function.
5) y =
x + 5
x
y
−8 −6 −4 −2 2 4 6 8
−8
−6
−4
−2
2
4
6
8
6) y =
x − 2
x
y
−8 −6 −4 −2 2 4 6 8
−8
−6
−4
−2
2
4
6
8
7) y = 3 + x
x
y
−8 −6 −4 −2 2 4 6 8
−8
−6
−4
−2
2
4
6
8
8) y = x + 4
x
y
−8 −6 −4 −2 2 4 6 8
−8
−6
−4
−2
2
4
6
8
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8/16/2019 Graphing Radicals
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9) y = −2 x + 2
x
y
−8 −6 −4 −2 2 4 6 8
−8
−6
−4
−2
2
4
6
8
10) y =1
2
3
x + 1 + 4
x
y
−8 −6 −4 −2 2 4 6 8
−8
−6
−4
−2
2
4
6
8
11) y = x − 4 − 2
x
y
−8 −6 −4 −2 2 4 6 8
−8
−6
−4
−2
2
4
6
8
12) y = −2 +3
x
x
y
−8 −6 −4 −2 2 4 6 8
−8
−6
−4
−2
2
4
6
8
Identify the domain and range of each. Then sketch the
graph.
13) y = 4 x − 2 − 1
x
y
−8 −6 −4 −2 2 4 6 8
−8
−6
−4
−2
2
4
6
8Domain: x ≥ 2
Range: y ≥ −1
14) y = −3
4 x − 1 + 4
x
y
−8 −6 −4 −2 2 4 6 8
−8
−6
−4
−2
2
4
6
8Domain: x ≥ 1
Range: y ≤ 4
2
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