3 years ago

What does the double bracket mean in this equation: f(x)=[[x]]

1 answer:

4 0

[[x]] means that the integer should be rounded down to the greatest integer that is of the same value as x or is lower than x.

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Two students form a group of eight boys and 12 girls are sent to represent the school in a parade. If the two students are chose

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Find the domain and range of the function below.

Nana76 [90]

ANSWER

Domain: All real numbers

Range:

$[2, \infty )$

EXPLANATION

The given function is

$y = 3 {x}^{2} - 6x + 5$

To find the domain and range of the given function, we complete the square.

$y = 3 ({x}^{2} - 2x )+ 5$

$y = 3 ({x}^{2} - 2x + 1) + 3( - 1)+ 5$

$y = 3 ({x - 1)}^{2} - 3+ 5$

$y = 3 ({x - 1)}^{2} + 2$

The vertex is at (1,2).

The given function is a polynomial and all polynomial functions are defined everywhere.

The domain is all real numbers.

The parabola opens upwards and have vertex at (1,2). Hence the minimum y-value is 2.

The range is

$[2, \infty )$

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A comparison of two quantities

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A comparison of two quantities is called a ratio

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2. Consider the matrix B = 2 2 5 −1 . Decide whether the matrix B is diagonalizable or not. If it is, find an invertible matrix

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Answer:

jdbfdhsj fsjdfllw lj fedjbfuer jfcbefcbhryqer

Step-by-step explanation:

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