Answer:
YES, the number of people who visited the park can be represented as a function of the daily average temperature.
Step-by-step explanation:
From the table of values given which defines the number of visitors to the park as a function of daily temperature, the temperature is the domain values (independent variable), while the number of visitors is the range values (dependent variable).
For any relation to be considered a function, as a principle, any given domain value must have exactly one range value. In other words, there must not be two different range values assign to one domain value.
This means, for the relation between temperature and number of visitors to be considered a function, it must not have a domain value that is mapped to more than one range value.
Examining the table given, if we map each domain value to the range value, we will find out that there are only 1 exact range value for a domain value.
<em>Therefore, we can say: YES, the number of people who visited the park can be represented as a function of the daily average temperature.</em>
Answer:
27
Step-by-step explanation:
Answer:
[-3, ∞)
Step-by-step explanation:
There are many ways to find the range but I will use the method I find the easiest.
First, find the derivative of the function.
f(x) = x² - 10x + 22
f'(x) = 2x - 10
Once you find the derivative, set the derivative equal to 0.
2x - 10 = 0
Solve for x.
2x = 10
x = 5
Great, you have the x value but we need the y value. To find it, plug the x value of 5 back into the original equation.
f(x) = x² - 10x + 22
f(5) = 5² - 10(5) + 22
= 25 - 50 +22
= -3
Since the function is that of a parabola, the value of x is the vertex and the y values continue going up to ∞.
This means the range is : [-3, ∞)
Another easy way is just graphing the function and then looking at the range. (I attached a graph of the function below).
Hope this helped!
Answer:
A) -2
Step-by-step explanation:
