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gregori [183]
3 years ago
13

What key graphical features are obtained from a polynomial function?

Mathematics
1 answer:
Harman [31]3 years ago
7 0
<span>The key graphical features obtained from a polynomial function are: the zeros, the turning points and the end behaviour.

</span>A<span> "zero" of a polynomial function is an input value that produces an output of zero (0).

</span><span>A turning point is a point of the graph where the graph changes from increasing to decreasing or decreasing to increasing. A polynomial of degree n will have at most n – 1 turning points.

</span><span>The end behavior of a polynomial function is the behavior of the graph of f as x approaches positive infinity or negative infinity. The degree and the leading coefficient of a polynomial function determine the end behavior of the graph.
</span>
You might be interested in
Explain how you determine an equation for a line using a table of input/output values.
Lubov Fominskaja [6]
Example :

            x               y
            1               3
            2               6
            3               9
            4               12

first thing u do is pick any 2 points (x,y) from ur table

(1,3) and (2,6)
now we sub those into the slope formula (y2 - y1) / (x2 - x1) to find the slope
(y2 - y1) / (x2 - x1)
(1,3)....x1 = 1 and y1 = 3
(2,6)...x2 = 2 and y2 = 6
sub
slope = (6 - 3) / (2 - 1) = 3/1 = 3

now we use slope intercept formula y = mx + b
y = mx + b
slope(m) = 3
use any point off ur table...(1,3)...x = 1 and y = 3
now we sub and find b, the y int
3 = 3(1) + b
3 = 3 + b
3 - 3 = b
0 = b

so ur equation is : y = 3x + 0....which can be written as y = 3x...and if u sub any of ur points into this equation, they should make the equation true....if they dont, then it is not correct

and if u need it in standard form..
y = 3x
-3x + y = 0
3x - y = 0 ...this is standard form
6 0
3 years ago
Round off the nearest whole number 171.9296
kumpel [21]
Your answer:172 Hope this helps:)
5 0
3 years ago
What us the midpoint of A(-8,2) and B(4,-2)​
marusya05 [52]

Answer:

(-2 , 2)

Step-by-step explanation:

A(-8 , 2) = (x1 , y1)

B(4 , -2) = (x2 , y2)

midpoint = (x1 + x2/2  ,   y1 + y2/2)

=(-8 + 4/2  ,  2-(-2)/2)

=(-4/2  ,  2+2/2)

(-2  ,  2)

(3 , 7) = (x1 , y1)

(9 , 2) = (x2 , y2)

distance of PQ = \sqrt{(x2 - x1)^2 + (y2 - y1)^2}

=\sqrt{(9 - 3)^2 + (2 - 7)^2}

=\sqrt{(6)^2 + (-5)^2}

=\sqrt{36 + 25}

=\sqrt{61}

=7.8 unit

4 0
3 years ago
What is the equation of the graphed line in standard form? −2x+y=6 y = 2x + 6 12x+y=6 12x−y=−6 A line graphed on a Coordinate pl
malfutka [58]

Answer:

(0, 6), (2, 7)

y = mx + b

m = (7 - 6)/(2 - 0) = 1/2 = 0.5

b = 6

y = 1/2*x + 6

1/2*x - y = -6

So, answer D is correct. But m is the fraction 1/2 and not 12.


6 0
3 years ago
A rectangle has a perimeter of 182 in and length of 52 in. What is the width?
Alik [6]
Check the picture below.

7 0
3 years ago
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