The intervals of the function on the graph are:
- Domain = (-∝, ∝)
- Range = (-∝, 2]
- Increases (-∝, 3]
- Decreases [3, ∝)
<h3>The key features of the function?</h3>
The function is given as:
f(x) = -2(x-3)² + 2
See attachment for the graph.
From the graph, we have;
Domain = (-∝, ∝)
Because it takes all real values as its input
Range = (-∝, 2]
Because it has a vertex of (3, 2) and the vertex is a maximum
Also, it increases on the interval (-∝, 3] and decreases on the interval [3, ∝)
Read more about function interval at:
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Answer:


Step-by-step explanation:
Let the quotient be represented by 'Q'.
Given:
The difference of a number 'y' and 16 is 
Quotient is the answer that we get on dividing two terms. Here, the first term is 40 and the second term is
. So, we divide both these terms to get an expression for 'Q'.
The quotient of 40 and
is given as:

Now, we need to find the quotient when
. Plug in 20 for 'y' in the above expression and evaluate the quotient 'Q'. This gives,

Therefore, the quotient is 10, when the value of 'y' is 20.
As the price per hour worked is $11, then 11 is the coefficient (or multiplier) of the number of hours Rita and Tina had worked. As for Rita, she will receive an extra $32 flat wage for her total overtime hours, so it will not be multiplied any further. Expressing their total wages mathematically:
Rita's total wages = 11r + 32
Tina's total wages = 11t