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jarptica [38.1K]
1 year ago
11

The graph of a function f(x) passes through the following points:

Mathematics
1 answer:
Alex1 year ago
5 0

The function is f(x) = -2x² + 2 if the function f(x) passes through the following points:(0,2), (1, 0), (-1,0)

<h3>What is a function?</h3>

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have:

The graph of a function f(x) passes through the following points: (0,2), (1, 0), (-1,0)

Let

f(x) = ax² + bx + c

Plug x = 0, and y = 2

c = 2 ...(1)

Plug x = 1 and y = 0

a + b + c = 0 ..(2)

Plug x = -1 and y = 0

a - b + c = 0  ...(3)

After solving (1), (2), and (3)

a = -2

b = 0

c = 2

f(x) = -2x² + 2

Thus, the function is f(x) = -2x² + 2 if the function f(x) passes through the following points:(0,2), (1, 0), (-1,0)

Learn more about the function here:

brainly.com/question/5245372

#SPJ1

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  All potential solutions are covered by theoretical domains and ranges. The solution sets are constrained by actual domains and ranges to fit inside predetermined constraints. Make a function equation out of a word problem that specifies the domain and range of application. All potential solutions are covered by theoretical domains and ranges.

<h3>Domain and range: what are they?</h3>

C = 9 + 7.34

One room costs = $7.34.

Charges of n room = Charges of one room  × Number of Rooms

Charges of n room = 7.34 n

Reservation Room =  $ 9

Total Cost (c) = Reservation Room + Charges of n room

C = 9 + 7.34

They only clean a maximum of 15 rooms.

Domain = { 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15}

When n = 1 , C = 9 + 7.34 ×1 = 16.34

When n = 2 , C = 9 + 7.34 ×2 =23.68

When n = 3 , C = 9 + 7.34 ×3 =31.02

When n = 4, C = 9 + 7.34 ×4 =38.36

When n = 5 , C = 9 + 7.34 ×5 = 45.7

When n = 6, C = 9 + 7.34 × 6 = 53.04

When n = 7 , C = 9 + 7.34 ×7 = 60.38

When n = 8 , C = 9 + 7.34 ×8 =67.72

When n = 9 , C = 9 + 7.34 × 9 =75.06

When n = 10, C = 9 + 7.34 ×10 = 82.4

When n = 1 1, C = 9 + 7.34 ×1 1 = 89.74

When n = 12 , C = 9 + 7.34 ×1 2 = 97.08

When n = 13 , C = 9 + 7.34 ×1 3 = 104.42

When n = 1 4, C = 9 + 7.34 ×14 = 111.76

When n = 1 5, C = 9 + 7.34 ×15 = 119.1

C = 9 + 7.34

Domain = { 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15}

Range = { 16.34,23.68,31.02,38.36,45.7, 53.04,60.38,67.72,75.06,82.4,89.74,97.08,104.42,111.76,119.1}

To Learn more About Domain and range, Refer:

brainly.com/question/2264373

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The answer
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but p' and p are correspondant angles implies p'=p,
looking at the figure, p' and q are opposite angles
so q=p' and p'=p implies   q=p
the answer is
<span>p = q</span>

 


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Step-by-step explanation:

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