Solving Radical Inequalities
Transcript of Solving Radical Inequalities
Solving Radical Inequalities
25
22 x
x
xx
x
4
33
Find the domain of each of the following:
f(x) = f(x) =
Solving Radical Inequalities
25
22 x
x
xx
x
4
33
Find the domain of each of the following:
f(x) = f(x) =
𝒙𝟐− 𝟐𝟓 > 𝟎
rad > 𝟎
𝒙 − 𝟓 𝒙 + 𝟓 = 𝟎
𝒙 = 𝟓 𝒙 = −𝟓
D: {x| 𝑥 < −5 𝑜𝑟 𝑥 > 5}
𝒙(𝒙𝟐−𝟒) > 𝟎
𝒙 𝒙 − 𝟐 𝒙 + 𝟐 = 𝟎 𝒙 = 𝟎 𝒙 = 𝟐 𝒙 = −𝟐
−𝟐 𝟎 𝟐 −𝟑 −𝟏 𝟏 𝟑
Ans: (-2, 0) ∪ (2, )
Ans: D:{-2 < 𝒙 < 𝟎 ∪ 𝒙 > 𝟐}
Solving Radical Inequalities
Make a sign analysis chart
Step 4 Answer
Make a sign analysis chart
Step 4 Answer
Page 18 in Packet
𝒚 = 𝒙
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Vertex of 𝒚 = 𝒂 𝒙 − 𝒉 + 𝒌
Vertex = ( ____, ____ )
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-8, 3
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Reflected across the x-axis
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narrower
wider
Vertical “strectch”
Vertical “shrink”
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