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3 years ago

For the function f(x)=(1/2)⋅6^x , identify the domain, range, y-intercept, and asymptote.

Mathematics

1 answer:

skelet666 [1.2K]3 years ago

6 0

Answer:

Step-by-step explanation:

f(x) = (1/2) *6^x = 2^-1 * 2^x *3^x

y= 2^ (x-1) * 3^x

Domain represents all values that x can have and is all real numbers

Range all values that y can have and is y > 0 ( all real numbers that are positive)

The y-intercept is the point where the graph intersects the y-axis so x=0 there

y = 2^(0-1) *3^0 = 1/2 *1 = 1/2

the asymptote is at y= 0

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Step-by-step explanation:

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Pie

Complete question :

There is a competition at the local movie theater for free movie tickets. You must guess all four employees' ages given a few clues. The first clue is when their ages are added together the sum is 106. Kirk is 2 times the quantity of ten years less than the manager's age, Brian is 12 years younger than twice the manager's age, ,and Matt is 6 years older than ½ the manager's age. What are all four of their ages? Be sure to show set up equation work and answer

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following clue :

Let manager's age = m

Kirk's age = k

Brian's age = b

Matt's age = a

Sum of their ages = 106

k = 2(m - 10) = 2m - 20

b = 2m - 12

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Express all their ages in terms of m

2m - 20 + 2m - 12 + 0.5m + 6 + m = 106

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Answer:

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Step-by-step explanation:

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I am going to say that:

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