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
How whorls I slice this and what’s the answer?
Olenka [21]
Here is a graph. When you use a graphing calculator, it isn't always necessary to solve for y.

Note different colors are used for the different problems. Problem 2 has a dashed line, as described by "Remember, ...".

3 0
3 years ago
Find the leading coefficient and write the factored form of the function of least degree for the polynomial in the graph below.
OLga [1]
Yyyiyoyjtjdnxhwhshshdhesjdjejd
3 0
2 years ago
Find the product of:
eduard

Answer:

144/5

Step-by-step explanation:

\large \rm \: 9 \frac{2}{3} \times 1 \frac{1}{29} \times \frac{6}{15 } \times 7 \frac{1}{5}  \\  =  \frac{29}{3}  \times  \frac{30}{29}  \times  \frac{6}{15}  \times  \frac{36}{5}  \\  = 10 \times  \frac{216}{75}  \\  =  \frac{2160}{75}  \\  =  \frac{144}{5}

5 0
2 years ago
Read 2 more answers
cheryl wants to buy a bicycle that costs 160$. if she saves 12$ each week, what is the fewest number of weeks she must save in o
Serjik [45]

please show the answer choices

5 0
2 years ago
Read 2 more answers
In a circle with a radius of 7 feet, the radian measure of the central angle subtended by an arc with a length of 4 feet is . Th
ivann1987 [24]
We know that
length of a sector=[∅]*r--------> when ∅ is in radians
so
∅=length of a sector/r
for r=7 ft
length of a sector=4 ft
∅=4/7-----> 0.57 radians

the answer part 1) is 0.57 radians

part 2) 
area of a sector=(∅/2)*r²--------> when ∅<span> is in radians
</span>area of a sector=(4/7/2)*7²-----> (4/14)*49----> 14 ft²

the answer Part 2) is 14 ft²
3 0
3 years ago
Other questions:
  • HELP ASAP PLEASE!!!!
    14·1 answer
  • What is the ration of 8/4
    10·2 answers
  • There are 10 marbles in a bag. Tyrell draws one marble out at a time without looking and replaces it in the bag. Tyrell did this
    11·2 answers
  • 4+2(x-2)=2(x-1)+2<br> which one<br> A. Infinitesolutions<br> B.x=0<br> C.x=3<br> D.x=-2<br> E.x=-3
    12·2 answers
  • What is the range of y=-3sine(x)-4​
    6·1 answer
  • In the diagram, VZ/YZ=WZ/XZ. To prove that △VWZ ~ △YXZ by the SAS similarity theorem, which other sides or angles should be used
    11·2 answers
  • If f(x)=(x-1)^1/3 then what is f^-1(x)
    9·1 answer
  • Amelia enjoys running and often runs at a steady pace. At this pace, Amelia can run 50 yards in 12 seconds. What is Amelia's uni
    8·1 answer
  • What is the slope for x+3y=3​
    15·1 answer
  • Find the length DE of 6, 7 1, 7 3, 2 7,2 and 7, 4
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!