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Anna11 [10]
4 years ago
8

Write the domain and range as inequalities.

Mathematics
1 answer:
Andrews [41]4 years ago
6 0

Answer:

  • domain: -∞ < x < ∞
  • range: -2 ≤ y < ∞

Step-by-step explanation:

<u>Domain</u>

The domain is the horizontal extent of the function, the set of input values for which it is defined. A parabola that opens up or down is defined for all x values, so its domain is ...

  -∞ < x < ∞ . . . . . . (-∞, ∞) in interval notation

__

<u>Range</u>

The range is the vertical extent of the function, the set of output values it produces. The vertex of the parabola is one extreme of the range. Depending on the direction it opens, the other extreme will be +∞ or -∞. The range includes the y-value of the vertex. Here, the range is ...

  -2 ≤ y < ∞ . . . . . . [-2, ∞) in interval notation

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Express (x-1)^2<br> as a trinomial in standard form.
Andrews [41]

Answer:

x² - 2x + 1

Step-by-step explanation:

We want to express (x - 1)² as a trinomial. In other words, we want to expand this out.

(x - 1)² = (x - 1)(x - 1)

We use FOIL (First, Outer, Inner, Last). The First terms are x and x. Multiply:

x * x = x²

The outer terms are x and -1. Multiply:

x * (-1) = -x

The inner terms are -1 and x; multiply:

(-1) * x = -x

The last terms are -1 and -1; multiply:

(-1) * (-1) = 1

Add all these together:

x² + (-x) + (-x) + 1 = x² - 2x + 1

<em>~ an aesthetics lover</em>

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3 years ago
Write an inequality using absolute value if the answer is given double inequality:
gayaneshka [121]

Answer:

Answer: 67 ≤ x ≤ 73 Step-by-step explanation: Given inequality is: |x − 70| ≤ 3 We have to find the value of x. If |x| ≤ a then x ≤ a and x ≥ -a . Applying this rule to given inequality,we get x - 70 ≤ 3 and x - 70 ≥ -3 Adding 70 to both sides of above both inequality,we get x-70+70 ≤ 3+70 and x-70+70 ≥ -3+70 Adding like terms,we get x ≤ 73 and x ≥ 67 Combining above two inequalities ,we get 67 ≤ x ≤ 73 which is the answer.

Read more at Answer.Ya.Guru – https://answer.ya.guru/questions/4282353-what-are-the-solutions-to-the-absolute-value-inequality-x-70-3.html

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