Answer:
The domain of the function is R i.e. any real value.
Step-by-step explanation:
The given figure is a graph on the coordinate plane of the function
Now, the domain of a function means that the values of x (Independent variable) for which the function is valid i.e. the y values are real.
It is clear from the equation given above that for any real value of x there will be a real corresponding value of y.
Therefore, the domain of the function is R i.e. any real value. (Answer)
1. Answer: Vertical shift up 3 units and vertical stretch by factor of 2
<u>Step-by-step explanation:</u>
f(x) = √x
g(x) = 2√x + 3
- adding 3 is a vertical shift up 3 units
- multiplying by 2 is a vertical stretch by factor of 2
2. Answer: Domain: [0, ∞)
Range: [3, ∞)
<u>Step-by-step explanation:</u>
g(x) = 2√x + 3
Domain: The restriction on "x" is that the radical must be greater than or equal to 0. So, x ≥ 0 Interval Notation: [0, ∞)
Range: Since the radical must be greater than or equal to 0, then 2√x is also greater than or equal to 0. Add 3 to that and y ≥ 3. Interval Notation: [3, ∞)
The total budget for the student film was $1300 and $481 was spent on costumes
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more variables and numbers.
Let x represent the total budget for the student film.
The student spent $481 on costumes, which was 37% of their total budget, hence:
37% of x = 481
0.37x = 481
x = $1300
The total budget for the student film was $1300 and $481 was spent on costumes
Find out more on equation at: brainly.com/question/2972832
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why does maths have to be confusing