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
Naya [18.7K]
3 years ago
14

How to find only f on a graph that defines a function

Mathematics
1 answer:
puteri [66]3 years ago
3 0

Answer:

Read Below

Step-by-step explanation:

we can represent a function using a graph. Graphs display many input-output pairs in a small space. The visual information they provide often makes relationships easier to understand. We typically construct graphs with the input values along the horizontal axis and the output values along the vertical axis.

The vertical line test can be used to determine whether a graph represents a function. A vertical line includes all points with a particular

x

value. The

y

value of a point where a vertical line intersects a graph represents an output for that input

x

value. If we can draw any vertical line that intersects a graph more than once, then the graph does not define a function because that

x

value has more than one output. A function has only one output value for each input value.

You might be interested in
What is the following simplified product? Assume x greater-than-or-equal-to 0
nlexa [21]

Answer:

  10x^4\sqrt{6}+x^3\sqrt{30x}-10x^4\sqrt{3}-x^3\sqrt{15x}

Step-by-step explanation:

Remove perfect squares from under the radicals.

  (\sqrt{10x^4}-x\sqrt{5x^2})(2\sqrt{15x^4}+\sqrt{3x^3})\\\\=(\sqrt{10x^4})(2\sqrt{15x^4}) +(\sqrt{10x^4})(\sqrt{3x^3}) -(x\sqrt{5x^2})(2\sqrt{15x^4}) -(x\sqrt{5x^2})(\sqrt{3x^3})\\\\=2\sqrt{150x^8}+\sqrt{30x^7}-2x\sqrt{75x^6}-x\sqrt{15x^5}\\\\=\boxed{10x^4\sqrt{6}+x^3\sqrt{30x}-10x^4\sqrt{3}-x^3\sqrt{15x}}

_____

The applicable rules of exponents are ...

  (x^a)(x^b) = x^(a+b)

  √(a^2) = a . . . . . . . for a > 0

  (√a)(√b) = √(ab)

5 0
3 years ago
Read 2 more answers
Which is better 9.95 for 30oz of coffee or 3.50 for 12oz of coffee
MaRussiya [10]

Answer:

9.95 for 30oz

Step-by-step explanation:

30/9.95 = 3.02

12/3.5 = 3.43

7 0
3 years ago
n an orchid show, seven orchids are to be placed along one side of the greenhouse. of the orchids, we see that the number of lin
NNADVOKAT [17]

Answer:

35

Step-by-step explanation:

7 orchids can be lined as 7!. This means that for the first orchid of the line, you can select 7 options. When you place the first orchid, for the second option you can select among 6 since 1 orchid has already been placed. Similarly, for the 3rd orchid of  the line, you have left 5 options. The sequence goes in this fashion and for 7 orchids, you have 7*6*5*4*3*2*1 possibilities. However, there is a restriction here. 3 of the orchids are white and 4 are levender. This means that it does not make a difference if we line 3 white orchids in an arbitrary order since it will seem the same from the outside. As a result, the options for lining the 7 orchids diminish. The reduction should eliminate the number of different lining within the same colors. Similar to 7! explanation above, 3 white orchids can be lined as 3! and 4 levender orchids can be lined as 4!. To eliminate these options, we  divide all options by the restrictions. The result is:

\frac{7!}{4!*3!} = 35. [(7*6*5*4*3*2*1/(4*3*2*1*3*2*1)]

3 0
3 years ago
Please help me with this
horrorfan [7]

Answer:

\dfrac{4000\pi}{3} ft³

Step-by-step explanation:

First, let's figure out how to get the <em>volume </em>of a sphere from its <em>surface area</em>. If r is the radius of our sphere, then

The formula for a sphere's surface area is A = 4\pi r^2

The formula for a sphere's volume is V=\frac{4}{3}\pi r^3

So to get from area to volume, we have to <em>divide the area by 3 </em>and then <em>multiply it by r.</em> Mathematically:

V=\frac{A}{3}r

Before we solve for V though, we need to find the radius of our sphere. Thankfully, we're given the surface area - 400\pi ft² - so we can use the area formula to find that radius:

A=4\pi r^2=400\pi\\r^2=100\\r=10

And now that we have our radius, we can put it into our volume formula to find

V=\frac{A}{3} r=\frac{400\pi}{3}(10)=\frac{4000\pi}{3} ft³

4 0
3 years ago
What is the equation of the line in slope-intercept form that is perpendicular to the line y = x – 2 and passes through the poin
Ostrovityanka [42]
Y= 3/4x - 2   (-2,10)= (x1,y1)
The slope is -4/3 of the perpendicular line:
Then:
y-y1=m(x-x1)
y-10=(-4/3)(x+2)
y=-(4/3)x -8/3 +10
y= -(4/3)x +22/3 (That's the answer)
5 0
3 years ago
Other questions:
  • Can somebody plz help me fast plz !!!
    14·2 answers
  • If f(x) = x^2 + 3x + 5, what is f(a+ h)?​
    9·1 answer
  • I am in some serious need of help <br><br> If P(a)=1/3, P(b)=2/5, and P(AuB)=3/5 what is P=(AnB)?
    8·2 answers
  • A shirt and a tie together cost $48 the shirt costs $22 more than the tie what is the cost of the shirt
    9·2 answers
  • Find the missing side length
    5·1 answer
  • 2x+5=2x+5<br><br> a. infinite solutions<br> b. one solution<br> c. no solution
    13·2 answers
  • What is the value of ?<br><br> 1. 22<br> 2. 882<br> 3. 220.5<br> 4. 21
    15·2 answers
  • Please please help me
    6·1 answer
  • Is 9r+16=5 a literal equation? Explain.
    14·1 answer
  • Arrange the functions in ascending order, starting with the function that eventually has the least value and ending with the fun
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!