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The situation in which a function behaves differently over different parts of its domain is modeled by considering it to be a piecewise function.
Such a situation can be explained through an example:
f(x)= { 2x, for x > 0
{ 1, for x = 0
{ -2x, for x < 0
now, when we take x value less than 0, say x= -1
thus, f(x)= f(-1)= -2(-1) = 2 , here we used f(x) given x<0
now, when we take x value more than 0, say x= 2
thus, f(x)= f(1)= 2(1) = 2, here we used f(x) given x>0
now, when we take x = 0,
thus, f(x)= f(0)= 1, here we used f(x) given x=0
this is how we model picewise function, we use f(x) as per the value of x. Following image shows plotted answer for this example.
Since inequalities given are exclusive of 0, we leave the dot at the origin unfilled. Now, for x = 0. Since the value is constant at f(x) =1, we plotted a point at (0,1)
more questions on picewise functions brainly.com/question/12089993
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Answer:
$10,318.62
Step-by-step explanation:
We have been given that works at Silly's and makes $33.19 an hour. He also collects a 5.3% commission on final weekly sales. If he works over 40 hours during any week, he earns double his hourly wage.
Peter's hourly charges during 1st and 2nd week would be $33.19 and hourly charges during 3rd and 4th week would be 2 times $33.19.
First of all, we will find total hourly income as:
Now, we will find income from commission on sales as:
Peter's total earnings is the last month:
Therefore, Peter's total earnings in last month was $10,318.62.