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horsena [70]
3 years ago
7

Which of the following functions is graphed below

Mathematics
2 answers:
Lelechka [254]3 years ago
5 0

Calculate the function values for x = 2

y=x^2+4\\\\for\ x=2\to y=2^2+4=4+4=8\to(2,\ 8)\\\\y=-x+4\\\\for\ x=2\to y=-2+4=2\to(2,\ 2)

Look at the picture.

Answer:

C.\ \left\{\begin{array}{ccc}x^2+4&.\ x

ella [17]3 years ago
3 0

Answer:

Option C. is the correct option.

Step-by-step explanation:

There are two portions of the given graph. One is in the curved form and second is the straight line.

In the curved portion a Hollow point is given with x coordinate as 2 and the function value of f(2) =  8.

f(x) = x^{2}+4

f(2) = 4+4 = 8

And hollow point represents x < 2.

Similarly in the second portion of the graph which is in the form of a straight line, starting point is in the solid form which represents x ≥ 2.

The function value at x ≥ 2 is 2.

f(x) = -x + 4

f(2) = -2 + 4 = 2

Therefore Option C. is the correct answer.

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The function is positive when x is larger than 3, then the interval in where the function is positive is: (3, ∞)

<h3>on what interval is the function positive?</h3>

The function is positive when g(x) > 0.

Then we need to solve:

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We can directly remove the cubic root, because it does not affect the sign of the argument, then:

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Step-by-step explanation:

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