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What is the minimum value of absolute value function ∣x∣+2|x|+2∣x∣+2 ?
y=2y=2y=2
y=4y=4y=4
y=−2y=-2y=−2
According to the identity property, what is ∣−6∣∣-6∣∣−6∣ ?
6
-6
0
What is the maximum value of absolute value function −∣x∣-|x|−∣x∣ ?
y=1y=1y=1
y=0y=0y=0
Complete:
The absolute function ∣x∣|x|∣x∣ is always_____.
Positive
Negative
zero
The absolute function ∣−x∣|-x|∣−x∣ = ____________ .
∣x∣|x|∣x∣
−∣x∣-|x|−∣x∣
−x-x−x
Which of the following inequalities is always true for the absolute value function?
∣x∣≥0|x|\ge0∣x∣≥0
∣x∣=0|x|=0∣x∣=0
∣x∣≤0|x|\le0∣x∣≤0
According to the identity property, what is ∣0∣∣0∣∣0∣ ?
1
-2
What is the range of absolute function ∣x∣|x|∣x∣ ?
[0,∞][0,∞][0,∞]
[0,∞)[0,∞)[0,∞)
(0,∞)(0,∞)(0,∞)
What is the minimum value of absolute value function ∣x−1∣−4|x-1|-4∣x−1∣−4 ?
y=−4y=-4y=−4
y=3y=3y=3
What is the triangular inequality?
∣x+y∣≤∣x∣+∣y∣|x+y|\le|x|+|y|∣x+y∣≤∣x∣+∣y∣
∣x+y∣=∣x∣+∣y∣|x+y|=|x|+|y|∣x+y∣=∣x∣+∣y∣
∣x+y∣≥∣x∣+∣y∣|x+y|\ge|x|+|y|∣x+y∣≥∣x∣+∣y∣
It is done.