Mathematics, 14.07.2019 00:00 kingbot350

Which of the following graphs corresponds to the given function? a) graph w b)graph x c) graph y d) graph z

Answers: 2

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Answers

Answer from: josiebranstetter93

Step-by-step explanation:

Graph Y

Answer from: SkyMelvin

The correct option is (C) Graph Y.

Step-by-step explanation: The given function is:

$f(x)=\sqrt{x-1}.$

We are to select the correct graph that corresponds to the above function f(x).

Since we are dealing with real functions, so the function f(x) will be well-defined if the quantity under the square root is greater than or equal to 0.

That is,

$\sqrt{x-1}\geq 0\\\\\Rightarrow x-1\geq 0\\\\\Rightarrow x\geq 1.$

Therefore, the domain of the function f(x) is [1, ∞).

Option (A)

Here, the domain of the function is (-∞, -1] ≠ [1, ∞).

So, this option is NOT CORRECT.

Option (B)

Here, the domain of the function is [-1, ∞) ≠ [1, ∞).

So, this option is NOT CORRECT.

Option (C)

Here, the domain of the function is [1, ∞), which is the domain of the given function.

So, this option may be CORRECT.

Option (D)

Here, the domain of the function is (-∞, 1] ≠ [1, ∞).

So, this option is NOT CORRECT.

Since the domains of graphs represented by options (A), (B) and (D) do not match with the domains of the given function.

So, options (A), (B) and (D) are NOT CORRECT.

Also, the domain of the graph in option (C) matches with the domain of the given function f(x).

The value of f(x) at x = 1 is

$f(1)=\sqrt{1-1}=0,$

which is the value of graph Y at x = 0.

And the value of f(x) at x = 2 is

$f(2)=\sqrt{2-1}=1,$

which is the value of graph Y at x = 1.

So, the graph of the given function f(x) is Y.

Thus, (C) is the correct option.

Answer from: Quest

a net is a diagram that shows a “flattened” view of a solid. in a net, each face and base is shown with all of its dimensions. a net can also serve as a pattern to build a three-dimensional solid.

a pyramid is a three-dimensional object with a base that is a polygon and triangular faces that meet at one vertex.

" the net of a triangular pyramid consists of four triangles. the base here we are given of the pyramid is a equilateral triangle, and the lateral faces are also triangles "

Answer from: Quest

14.3

step-by-step explanation:

add all the numbers together.

9 + 12 + 15 + 16 + 17 + 17 = 86

now, divide 86 by how many numbers we have: 6.

86 / 6 = 14.3

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Which of the following graphs corresponds to the given function? a) graph w b)graph x c) graph y d...

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