1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Bogdan [553]
3 years ago
8

The range of which function includes -4?

Mathematics
2 answers:
Aneli [31]3 years ago
3 0
Function under A) has range x>0 because we cant calculate square root of negative number (we can if we include imaginery numbers)

B) again x must be greater than 0

C)  x + 5 > 0 which means that x > -5
-4 is withing range so C in correct

D) x - 5 > 0 which means x > 5

Answer is C because only function under C has domain such that it includes -4
laila [671]3 years ago
3 0

Answer: The correct answer is A.

Step-by-step explanation:

Range is defined as the set of 'y' values for which the function is defined.

The graph of y=\sqrt{x} passes through the origin and lies in the first quadrant and in the shape of half parabola. The image is attached below.

The alteration in the 'x' term will transform the graph in the x-direction. In order to find the range we will consider the y-values only. So, we can neglect option C and D.

When we add some constant 'C' in the function, then the graph will shift upward by C-units.

When we subtract some constant 'C' in the function, then the graph will shift downward by C-units.

Therefore, the graph of y=\sqrt{x}-5 starts with the point (0,-5) and hence, the graph will lie above this point. The image of the graph is attached below.

As, the range of the function is y\in {-5,\infty}, it means that -4 is also included in this range.

Hence, the correct option is A.

You might be interested in
35. Explain the difference between the reciprocal of x^2
Scorpion4ik [409]

Answer:

As you can see, the difference between the reciprocal of x^2 and the inverse of   x^2 is that \frac{1}{x^2} =x^{-2} and \sqrt{x} =x^{\frac{1}{2}.

Step-by-step explanation:

First lets find both the reciprocal of x^2 and the inverse of

Recall that the reciprocal of a value is where you take a fraction and swap the places of the terms. In the case of x^2, 1 is the denominator, so

\frac{x^2}{1} =\frac{1}{x^2}

To find the inverse of a function, you first need swap the locations of x and y in the equation

y=x^2\\\\x=y^2

Now, you need to solve for y

y^2=x\\\\y=\sqrt{x}

Now, lets rewrite each of these to better compare them

\frac{1}{x^2} =x^{-2}\\\\\sqrt{x} =x^{\frac{1}{2}

As you can see, the difference between the reciprocal of x^2 and the inverse of

7 0
2 years ago
What is the surface area of the triangular prism? A. 13 in.2 B. 36 in.2 C. 78 in.2 D. 84 in.2
NISA [10]
Answer :36in2


example:
my math teacher told me
4 0
3 years ago
Determine if the following triangles are congruent by SSS or SAS.
Sergeu [11.5K]

Answer:

They are congruent by SAS (Side Angle SIde) test or congruence criterion

Since,

In triangle ABD and triangle BCD

AB = BC (Given)

BD = DB(Common Side)

Angle ABD = Angle CBD

Therefore triangle ABD and triangle BCD by SAS (Side Angle SIde) test or congruence criterion

6 0
2 years ago
Please help i need it
mel-nik [20]
ok so i can’t answer all of them BUT!! if a=a: infinitely many, x=a: one solution, a=k: zero solutions. hope this helps!
3 0
3 years ago
Read 2 more answers
Which expression is equal to 2X^2+7<br> (Simplify)
almond37 [142]

This expression cannot be simplified any further.

5 0
3 years ago
Other questions:
  • What two equations can be written from the information in this problem if "x" equals the number of tickets purchased early, and
    12·1 answer
  • Write an explicit formula for the sequence and find the 18th term.<br> 12, 3, 3/4....
    5·2 answers
  • Please help with this question
    6·1 answer
  • What is the volume of the cylinder ?
    9·1 answer
  • 25 pts to who ever can help with this question:
    9·1 answer
  • Pls help me on these 2 questions !!
    8·1 answer
  • Mr. Martinez wants to get a cell-phone plan.He has two deals:
    12·1 answer
  • Find 136.7% of 301. Round to the nearest hundredth.
    13·1 answer
  • {(4x+2y=6),(-2x+2y=18):} Solve by using the elimination method
    7·1 answer
  • The circle has a radius of 6 inches find it’s approximate area and circumference.. use 3.14
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!