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Naya [18.7K]
2 years ago
14

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

Mathematics
1 answer:
puteri [66]2 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.

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Given that f(x)= 9x^2-180, find x
hoa [83]
9x^{2}  - 180 = 0

9x^{2}  = 180

Divide both sides by 9

 x^{2} = 20

Square root both sides, and you get

x =  \sqrt{20} --\ \textgreater \  simplified: 2 \sqrt{5}
3 0
3 years ago
Find the fourth roots of i
antoniya [11.8K]

Answer:

  1∠22.5°, 1∠112.5°, 1∠202.5°, 1∠292.5°

Step-by-step explanation:

A root of a complex number can be found using Euler's identity.

<h3>Application</h3>

For some z = a·e^(ix), the n-th root is ...

  z = (a^(1/n))·e^(i(x/n))

Here, we have z = i, so a = 1 and z = π/2 +2kπ.

Using r∠θ notation, this is ...

  i = 1∠(90° +k·360°)

and

  i^(1/4) = (1^(1/4))∠((90° +k·360°)/4)

  i^(1/4) = 1∠(22.5° +k·90°)

For k = 0 to 3, we have ...

 for k = 0, first root = 1∠22.5°

  for k = 1, second root = 1∠112.5°

  for k = 2, third root = 1∠202.5°

  for k = 3, fourth root = 1∠292.5°

4 0
1 year ago
What is 4/9 in simplest form
blagie [28]
It already is in the simplest form. 4 and 9 have no common factors so there is nothing you can put into it to make it simpler 
4 0
3 years ago
Read 2 more answers
What is the value of x in the equation -3/4=x/24
Marat540 [252]
-3/4 = -0.75

-0.75 • 24 = -18

-18/24
4 0
3 years ago
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Identify the angle relationship pair for each angle below and explain how you know
Aleksandr [31]
3) complimentary bc the angles add up to 90°
4)they are congruent bc the vertical angle theorem
hope this helps!
5 0
2 years ago
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