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melisa1 [442]
3 years ago
10

Which of the following accurately shows the range of the function defined below?

Mathematics
1 answer:
tangare [24]3 years ago
5 0

Answer:

[2, positive infinity)

Step-by-step explanation:

the range is the interval of possible y-values or f(x) values.

for x<0 y is always and only 3.

for x between 0 and 2, y = x² + 2.

it clearly increases with increasing x. so, what is y for the smallest x ? the smallest x here is 0.

y = 0² + 2 = 2

for x larger or equal to 2, y = (1/2)×x + 5.

it again increases with increasing x. the smallest x here is 2.

y = (1/2)×2 + 5 = 1 + 5 = 6.

so, the smallest possible value for y is 2. and then it will approach positive infinity, when x approaches positive infinity. but it can never reach that (only after infinite time and at infinite x, so it is officially undefined), so that the interval is open on that end.

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Answer:

10d - 3x

Step-by-step explanation:

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Add like terms: 10d - 3x

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The distance from a to B is 42 feet. The slope of the roof is 24 feet. What is the height of the attic
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A repairman charges $55 for a home visit plus $45 per hour for the time he spends making repairs. How many hours did he work if
levacccp [35]

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6 0
2 years ago
Read 2 more answers
What would the length be?
Natalka [10]

Answer:

EF = ~3.8

Step-by-step explanation:

Apply the sine theorem:

EF/sinD = DE/sinF

=> EF = DE*(sinD/sinF)

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Hope this helps!

4 0
3 years ago
Thank you for your help :) really appreciate! Here’s the new one
drek231 [11]

Answer:

8 units

Step-by-step explanation:

The two squares have equal areas.

For each square:

area = 32 units^2

For a square:

area = side^2

side^2 = 32

side = sqrt(32)

For the two squares, the length of the side is sqrt(32).

The sides of the squares are the legs of the right triangle.

a^2 + b^2 = c^2

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32 + 32 = x^2

x^2 = 64

x = 8

Answer: 8 units

4 0
3 years ago
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