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

Show answers

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

lockers 1, 4, 9, 16, 25, 40, and 49 are open

i ran through it by the other answer is wrong

Answer from: Quest

$a_1 = 1$ , and

$a_{n+1} = a_n + (n + 1)$ for $n \ge 1$

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote $a_1 = 1$ , $a_2 = 3$ , $a_3 = 6$ , so that we can call

1 the 1st term, 3 the 2nd term, 6 the 3rd term,etc.

note the following:

from the 1st term (1) to the 2nd term (3), we go up by 2,from the 2nd term (3) to the 3rd term (6), we go up by 3from the 3rd term (6) to the 4th term (10), we go up by 4, andfrom the 4th term (10) to the 5th term (15), we go up by 5.

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from $a_1 = 1$ , to get to $a_2 = 3$ , we add $2(=1+1)$

from $a_2 = 3$ , to get to $a_3 = 6$ , we add $3 (=2+1)$

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

$a_1 = 1$ , and $a_{n+1} = a_n +(n + 1)$ for $n \ge 1$

Another question on Mathematics

Mathematics, 21.06.2019 16:00

Apatient is to take 60 mg of an antibiotic on day 1, take 45mg on days 2 and 3, take 30mg on days 4 and 5 and take 15 mg on days 6 and 7. how many total mg will the patient take?

Answers: 1

Answer

Mathematics, 21.06.2019 20:30

You have a square piece of cardboard that measures 14 inches on each side. to build a box, you cut congruent squares out of each corner of the cardboard. use the picture to find the area of the cardboard you were used to build the box

Answers: 2

Answer

Mathematics, 22.06.2019 00:30

What should be done to both sides of the equation in order to solve -5m = -40? a) multiply by -5. b) divide by -5. c) multiply by -40. d) divide by -40.

Answers: 2

Answer

Mathematics, 22.06.2019 00:30

Parallelogram rstu is a rhombus. m∠r = 120° what is m∠t = 120 (what is m∠rsu? )

Answers: 2

Answer

You know the right answer?

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

Questions