<h3>
Answer: Choice A</h3>
Domain = (a,b]
Range = [mc + n,md + n)
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Explanation:
The domain stays the same because we still have to go through f(x) as our first hurdle in order to get g(x).
Think of it like having 2 doors. The first door is f(x) and the second is g(x). The fact g(x) is dependent on f(x) means that whatever input restrictions are on f, also apply on g as well. So going back to the "2 doors" example, we could have a problem like trying to move a piece of furniture through them and we'd have to be concerned about the f(x) door.
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The range will be different however. The smallest value in the range of f(x) is y = c as it is the left endpoint. So the smallest f(x) can be is c. This means the smallest g(x) can be is...
g(x) = m*f(x) + n
g(x) = m*c + n
All we're doing is replacing f with c.
So that means mc+n is the starting point of the range for g(x).
The ending point of the range is md+n for similar reasons. Instead of 'c', we're dealing with 'd' this time. The curved parenthesis says we don't actually include this value in the range. A square bracket means include that value.
Answer:
The equation representing how old Monique son is 
Step-by-step explanation:
From the given information:
A linear function can be used to represent the constant growth rate of Monique Son.
i.e.
where;
= initial height of Monique's son
= growth rate (in)
t = time
So, the average boy grows approximately 2 5/8 inches in a year.
i.e.
Then; from the equation
The height of the son as a function of the age can now be expressed as:
Then:
Making t the subject;
and the age of the son i.e. ( a (in years)) is:
a = 2 + t
So;
SO;
if q (growth rate) = 50 inches tall
Then;
a = 2 + 6.095
a = 8.095 years
a ≅ 8 years
i.e.
Monique son will be 8 years at the time Monique is 50 inches tall.
Answer:
In geometry, an angle can be defined as the figure formed by two rays meeting at a common end point. An angle is represented by the symbol ∠. ... Angles are measured in degrees, using a protractor.
Step-by-step explanation:
Answer: Alternate Interior Angles Theorem
