Use set of notation to write the domain and range of the function y=-3x(x+1)^2+3 shown in graph
1 answer:
The domain of a function is the set of values of x in which the function can be calculated.
The range of a function is the associated values of the function respect to the domain.
You have the following function:
In order to determine the domain and range of the previous function, you consider that the given function is available for any value of x. Then, you have:
dom y: -∞ ≤ x ≤ ∞ : (-∞,∞)
The range of the function can be determine by noticing, on the graph, that the maximum value of the function is y=3 and also you can notice that there is no a limit for negatives values of the function. Then, you have:
ran y: -∞ ≤ y ≤ 3 : (-∞,3]
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Answer:
This means that the family must travel for at least 4 days.
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Step-by-step explanation:
Given
Required
Determine and solve the inequality
The number of days is represented with D
So:
On any D number of days, the family would have covered a distance of 350 * D miles
If the total distance is at least 1400, then the inequality is:
[The term "At least" is used to represent <em>greater than or equal to</em>]
Divide through by 350
<em>This means that the family must travel for at least 4 days.</em>