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natnerd4671
15.07.2019 •
Mathematics
Which of the following describes the function −x4 + 1? the degree of the function is even, so the ends of the graph continue in opposite directions. because the leading coefficient is positive, the left side of the graph continues down the coordinate plane and the right side continues upward. the degree of the function is even, so the ends of the graph continue in the same direction. because the leading coefficient is negative, the left side of the graph continues down the coordinate plane and the right side also continues downward. the degree of the function is even, so the ends of the graph continue in opposite directions. because the leading coefficient is negative, the left side of the graph continues up the coordinate plane and the right side continues downward. the degree of the function is even, so the ends of the graph continue in the same direction. because the leading coefficient is positive, the left side of the graph continues up the coordinate plane and the right side also continues upward.
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Ответ:
The correct option is:
The degree of the function is even, so the ends of the graph continue in the same direction. Because the leading coefficient is negative, the left side of the graph continues down the coordinate plane and the right side also continues downward.
Step-by-step explanation:We are given a degree four function in variable 'x' as:
Now, the ends of the graph will be in the same direction since the leading coefficient is negative and the function is even
( since:
f(-x)=f(x) )
so the end behavior could be checked as:
when x→ -∞ then f(x)→ -∞
and when x → ∞ then f(x) → -∞
Also we could see by the graph of the unction.
The correct option is:
The degree of the function is even, so the ends of the graph continue in the same direction. Because the leading coefficient is negative, the left side of the graph continues down the coordinate plane and the right side also continues downward.
Ответ:
The function representing the scenario is
and the amount earned after 10 hours is $ 390.
Step-by-step explanation: Given that Luigi is an independent contractor who charges a $140 fee plus $25 per hour for each contract with the city.
We are to write a function representing the scenario where y represents the total amount her charges for a project and x represents the number hours worked on a project.
Also, to find the amount earned after 10 hours of work.
The number of hours Luigi work on a project is represented by x.
So, the amount charged by Luigi for a project is given by
Since y represents the total amount charged by Luigi on a project, therefore we must have
Now, if Kuigi work for 10 hours, then we have
x = 10.
Therefore,
Thus, the function representing the scenario is
and the amount earned after 10 hours is $ 390.