How do you find the Domain and Range of the following?
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1 answer:
Answer:
Domain : x ≥ -2
Range : y ≥ -4
Step-by-step explanation:
The given function is:
y = √(x + 2) - 4
Domain can be defined as the set of all possible values of x for which the function y is real and defined.
We can see that if we substitute x = -3 in the function, the value of under the underroot becomes negative, so the function becomes imaginary. If we substitute x = -2 or any value greater than that, the value of the function will be real and defined. Hence, the domain of the function is found x ≥ -2.
Range can be defined as all values of y which correspond to the domain. As minimum value of domain is x = -2, we substitute that in the function to get y = -4, which shows the minimum value of range. Hence, Range is y ≥ -4
We can see the domain and range in the graph
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Answer:
Kevin needs 96 points on his last test to raise his mean test score to 90 points.
Step-by-step explanation:
we know that
The mean score is the total of all scores divided by the total number of tests.
Let
x_1 ----> the score in the first math test
x_2 ----> the score in the second math test
x_3 ----> the score in the third math test
x_4 ----> the score in the fourth math test
we have
After taking the first 3 tests, his mean test score is 88 points
so
----> equation A
How many points does he need on his last test to raise his mean test score to 90 points?
so
----> equation B
substitute equation A in equation B
solve for x_4
Therefore
Kevin needs 96 points on his last test to raise his mean test score to 90 points.