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

answered: josiebranstetter93

Step-by-step explanation:

Graph Y

answered: 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.

answered: Guest

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1

answered: Guest

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b): y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4 perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)

Which equation represents a line perpendicular to the line shown on the graph?

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