Answer:
Domain [-5,∞)
Range [0,∞)
Step-by-step explanation:
Part 1) Find the domain
we have
we know that
The radicand must be greater than or equal to zero
so
solve for x
subtract 5 both sides
The solution for x is the interval [-5,∞)
All real numbers greater than or equal to -5
Remember that
The domain of a function is the set of all possible values of x
therefore
The domain of the function f(x) is the interval [-5,∞)
Part 2) Find the range
we have
Find the value of f(x) for the minimum value of x
For x=-5
The minimum value of f(x) is equal to zero
so
The solution for f(x) is the interval [0,∞)
All real numbers greater than or equal to 0
Remember that
The range of a function is the complete set of all possible resulting values of y, after we have substituted the domain.
therefore
The range of the function is the interval [0,∞)
Answer:
1.
4.
Step-by-step explanation:
First one:
Fourth one:
Answer:
Dream Studio offers music lessons at $12 per lesson. Fox Studio offers music lessons at $9 per lesson. The better deal here would be Fox Studio. This is because Fox Studio offers cheaper lessons. For eight lessons at Dream Studio it costs $96, where as eight lessons at Fox Studio costs only $72.
Explanation:
Step 1 - Find the cost per lesson at Dream Studio
60 / 5 = 12
So, $12 per music lesson at Dream Studio.
Step 2 - Find the cost per lesson at Fox Studio
72 / 8 = 9
So, $9 per music lesson at Fox Studio.
Step 3 - Find out which offers a better deal
•Dream Studio = $96 for eight music lessons
• Fox Studio = $72 for eight music lessons
Answer:
The mean number of scores per game is 8
Step-by-step explanation:
Since we know we can find the mean by adding all the numbers and dividing them by many numbers there were. Once you add 8, 14, 4, 7, 6, 4, and 7, you will get 64. Since there were 8 numbers, you divide 64 by 8 to get 8.