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mel-nik [20]
3 years ago
9

The graph of f has the equation of f(x)=x^3-4x²-3x+18

Mathematics
1 answer:
Butoxors [25]3 years ago
5 0
Hello,


y= x^3-4x²-3x+18=(x-3)²*(x+2)

y'=3x²-8x-3

y''=6x-8

1) Stationary points

Maximun: x=-1/3 ==>y=18,5185....
Minimum: x=3  ===>y=0 (double root)

2) x=4/3: point of inflection. (y''=0 and change sign)




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Answer:

Table 1 and 2 represent a function

Step-by-step explanation:

Given

<em>Table 1</em>

x 5 10 11

y 3 9 15

<em></em>

<em>Table 2</em>

x 5 10 11

y 3 9 9

<em>Table 3</em>

x 5 10 10

y 3 9 15

Required

Determine which of the tables represent that y is a function of x

For a relation to be a function; the x values must be unique.

In other words, each x value must not be repeated;

Having said that;

Analyzing Table 1

<em>Table 1</em>

x 5 10 11

y 3 9 15

<em></em>

Note that the x rows are unique as no value were repeated;

Hence, Table 1 is a function

<em>Table 2</em>

x 5 10 11

y 3 9 9

Note that the x rows are unique as no value were repeated;

Hence, Table 2 is a function

<em>Table 3</em>

x 5 10 10

y 3 9 15

Note that the x rows are not unique because 10 was repeated twice;

Hence, Table 3 is not a function

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