Graph the function by first finding its zeroes. y = x3- 2x2 + x
1 answer:
Answer:
The zeros of the function are;
x = 0 and x = 1
Step-by-step explanation:
The zeroes of the function simply imply that we find the values of x for which the corresponding value of y is 0.
We let y be 0 in the given equation;
y = x^3 - 2x^2 + x
x^3 - 2x^2 + x = 0
We factor out x since x appears in each term on the Left Hand Side;
x ( x^2 - 2x + 1) = 0
This implies that either;
x = 0 or
x^2 - 2x + 1 = 0
We can factorize the equation on the Left Hand Side by determining two numbers whose product is 1 and whose sum is -2. The two numbers by trial and error are found to be -1 and -1. We then replace the middle term by these two numbers;
x^2 -x -x +1 = 0
x(x-1) -1(x-1) = 0
(x-1)(x-1) = 0
x-1 = 0
x = 1
Therefore, the zeros of the function are;
x = 0 and x = 1
The graph of the function is as shown in the attachment below;
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I think that when you asked this question, no one answered because there is not enough information. I also got this problem and there is in fact, a table and a graph.
Step-by-step explanation:
for Hector, it only shows a y and x graph and for Geri it shows a table. let´s call the graph the ¨h¨ graph (for Hector) and the table is going to be called the ¨g¨ graph (for Geri)
on the h graph, it shows that y/x = dollars/time for Hector,
on the g table, it shows that Geri is getting paid $25.50 for each 3 hours and it keeps increasing within each input and output.
your y = your dollars
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we are looking for slope and we need $15 over hours
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the answer is that Hector earns $6.50 more than Geri
