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UNO [17]
3 years ago
11

The graph below belongs to which function family ?

Mathematics
2 answers:
Phoenix [80]3 years ago
6 0
This is an absolute value function.
Umnica [9.8K]3 years ago
6 0
<h2>Answer:</h2>

The graph belongs to a family of:

            Absolute value function.

<h2>Step-by-step explanation:</h2>
  • We know that the graph of a linear function is a straight line which is increasing or continuously decreasing depending on the slope of a line.

whereas in the given graph the graph is first increasing and then decreasing i..e. it changes it's behavior.

               Hence, the given graph is not a graph of a linear function.

  • Also, the graph of a quadratic function is in the shape of a parabola ; which is not a case here.

                    Hence, the graph is quadratic.

  • The graph of a cubic function is in the shape of a curve which has end behavior in the opposite direction ( i.e. the behavior when x tends to infinity in both the directions)

But here the end behavior of the graph is in the same direction.

                Hence, it is not a graph of a cubic function.

So, we are left with Absolute value function.

  • Since. we know that the graph of a absolute value function is such that it either attains a maximum or a minimum at a point and the graph first increases then decreases or first decreases and then increases respectively such that the shape of the graph is linear before and after it attains maximum or minimum.

Hence, the graph represents a absolute value function.

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Which is a factor of the polynomial f(x) = 6x4 – 21x3 – 4x2 + 24x – 35?
QveST [7]
<span>I note that this problem starts out with "Which is a factor of ... "  This implies that you were given several answer choices.  If that's the case, it's unfortunate that you haven't shared them.

I thought I'd try finding roots of this function using synthetic division.  See below:

f(x) = 6x^4 – 21x^3 – 4x^2 + 24x – 35
Please use " ^ " to denote exponentiation.  Thanks.

Possible zeros of this poly are factors of 35:  plus or minus 1, plus or minus 5, plus or minus 7.  Use synthetic division; determine whether or not there is a non-zero remainder in each case.  If none of these work, form rational divisors from 35 and 6 and try them:  5/6, 7/6, 1/6, etc.

Provided that you have copied down the function 
</span>f(x) = 6x^4 – 21x^3 – 4x^2 + 24x – 35  properly, this approach will eventually turn up 1 or 2 zeros of this poly.  Obviously it'd be much easier if you'd check out the possible answers given you with this problem.

By graphing this function, I found that the graph crosses the x-axis at 7/2.  There is another root.

Using synth. div. to check whether or not 7/2 is a root:

         ___________________________
7/2   /   6    -21    -4    24    -35
                   21      0   -14     35           
        ----------- ------------------------------
           6        0     -4    10       0

Because the remainder is zero, 7/2 (or 3.5) is a root of the polynomial.  Thus, (x-3.5), or (x-7/2), is a factor.

7 0
3 years ago
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lara31 [8.8K]

Answer:

Step-by-step explanation:

6 0
3 years ago
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Wich of rhe following representents the formula thst could be used to find the height of the cone
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Answer:

Cone volume = [PI * radius ^ 2 * height] / 3   therefore,

Cone height = [3 * Cone Volume] / (PI * radius^2)


Step-by-step explanation:


5 0
3 years ago
Renaldo will write 3/20 as a decimal. Which of the following methods should he use?
makvit [3.9K]

ANSWER

1. Multiply the fraction by 5/5 to get a denominator of 100 and then write the numerator as hundredths using a decimal point.

EXPLANATION

Renaldo wants to write

\frac{3}{20}

as a decimal.

He needs a denominator of 100, so he can multiply by

\frac{5}{5}

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\frac{3}{20}  =  \frac{3 \times 5}{20 \times 5}

This will be

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The correct choice is option 1.

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