1. Looking around in your own country, discuss two practical applications in which “piecewis

Cherish Sellers

Cherish Sellers

Answered question

2022-02-02

1. Looking around in your own country, discuss two practical applications in which “piecewise functions” are used either explicitly or implicitly.
2. To the best of your ability, using mathematical notion or in words, create any one of the functions you have spoken of in part (1) above.
3. If you could only learn one approach to solving quadratic equations, discuss which of the approaches you would choose and why?
4. Do you wholly agree with the statement that “the domain and range of a quadratic equation will be [,] ”? Provide arguments to support your position

Answer & Explanation

tonouyh3

tonouyh3

Beginner2022-02-03Added 8 answers

Consider the provided question,
(1)
Piecewise functions are the kind of functions, which behaves differently in different domains.
The examples of Piecewise functions are:
(a) The Income tax in a bracketed system.
As the slab changes, a sudden change appears in the function.
(b) Cab fares in different long runs:
The Ratio/slope of fair decreases for very long runs.
while for short distance travelling, they are higher.
(2)
Let x be the "Taxable income over " and y be the "Rate".
Then
y=f(x)={10%,x$900015%$9000<x$35,00020%x$35,000  (3)
For solving quadratics,
The simplest among all approach is "Shridharacharya Method" (quadratic formula).
Because this is straightforward and easy.
also, Real and Non real roots both can be found with equal ease.
Shridharacharya Method says, For an quadratic equation like ax² + bx + c = 0
we can find the value of x as,
x=b±b24ac2a
4)
No, I don't agree with the given statement.
Because any quadratic can be transformed as a sum of perfect square and a constant.
While, Perfect square is always Non-Negative.
Therefore, Range of Quadratic can't be [,] .

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