A)
Multiple Choice
What is the domain of the function below?
{(0, 2), (3, 1), (5, 2), (8, 4)}?
(1 point)
{1, 2, 4}
{0, 3, 5, 8}
{0, 1, 2, 3, 4, 5, 8}
{(0, 2), (3, 1), (5, 2), (8, 4)}
The domain of the function is {0, 3, 5, 8}.
A)
Is the following relation a function? {(0.3, 0.6), (0.4, 0.8), (0.3, 0.7), (0.5, 0.5)}
(1 point)
yes
no
cannot be determined
No, the relation is not a function because there are two different y-values for the x-value 0.3.
A)
Sound travels about 343 meters per second. The function d(t) = 343t gives the distance d(t) in meters that sound travels in t seconds. How far
does sound travel in 8 seconds?
(1 point)
343 meters
686 meters
2,744 meters
3,430 meters
To find how far sound travels in 8 seconds, we can use the function d(t) = 343t.
Substituting t = 8 into the function, we get:
d(8) = 343(8) = 2744
Therefore, sound travels 2,744 meters in 8 seconds.
To determine the domain of a function, we need to look at the x-values of the given points. The x-values represent the input values for the function. In this case, the given points are (0, 2), (3, 1), (5, 2), and (8, 4).
The domain of a function is the set of all possible input values, or x-values. So, to find the domain, we need to identify all the unique x-values from the given points.
From the given points, we can see that the unique x-values are 0, 3, 5, and 8. Thus, the domain of the function is {0, 3, 5, 8}.
Therefore, the correct answer is option B) {0, 3, 5, 8}.