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3 years ago

Determine if the function is one-to-one. (5 points)

Mathematics

1 answer:

photoshop1234 [79]3 years ago

4 0

Answer: NO

Step-by-step explanation:

In order for the function to be one-to-one, it must pass the vertical line test AND the horizontal line test.

The vertical line test is where you draw a vertical line anywhere and the line will not intersect the graph more than one time. In other words, the function cannot contain a duplicate x-value.

The horizontal line test is where you draw a horizontal line anywhere and the line will not intersect the graph more than one time. In other words, the function cannot contain a duplicate y-value.

The graph provided passes the vertical line test but fails the horizontal line test. One example is that there are two x-intercepts.

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Factor this completely P(x)=x^4-256

posledela

$\bf p(x)=x^4-256\qquad \boxed{2^8=256}\qquad p(x)=x^{2\cdot 2}-2^{4\cdot 2}
\\\\\\
p(x)=(x^2)^2-(2^4)^2\implies p(x)=[x^2-2^4]~[x^2+2^4]
\\\\\\
p(x)=[x^2-(2^2)^2]~[x^2+2^4]\implies p(x)=[(x-2^2)(x+2^2)]~[x^2+2^4]
\\\\\\
p(x)=(x-4)(x+4)(x^2+16)$

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3 years ago

A teacher gives 5 students a multiple choice test, in which each problem is worth 1 point. The median and mean scores turn out t

Afina-wow [57]

i Am so cool

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3 years ago

Karen wants to buy a $22.50 jacket that is marked 20% off. Select from the drop-down menu to correctly complete the sentence. Th

Strike441 [17]

So first,

$22.50 * .20= 4.5

Then, since is 20% off you subtract the percentage you get in which this case, it's 4.5.

$22.50 - 4.5 = $18

So the Jacket is $18.00!

Hope this helps, have a good day. c;

7 0

3 years ago

Read 2 more answers

Rectangle PQRS is rotated 90 counterclockwise about the origin what are the coordinates of point Q

inna [77]

You have not provided the diagram/coordinates for point Q, therefore, I cannot provide an exact answer.
However, I can help you with the concept.

When rotating a point 90° counter clock-wise, the following happens:
coordinates of the original point: (x,y)
coordinates of the image point: (-y,x)

Examples:
point (2,5) when rotated 90° counter clock-wise, the coordinates of the image would be (-5,2)

point (1,9) when rotated 90° counter clock-wise, the coordinates of the image would be (-9,1)

point (7,4) when rotated 90° counter clock-wise, the coordinates of the image would be (-4,7)

Therefore, for the given point Q, all you have to do to get the coordinates of the image is apply the transformation:
(x,y) .............> are changed into.............> (-y,x)

Hope this helps :)

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2 years ago

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Graph the equation y= x^2 - 2x - 8 on the accompanying set of axes. You must plot 5 points including the roots and the vertex.

Vanyuwa [196]

Answer:

I'm not so sure about this one so sorry if this is wrong

Step-by-step explanation:

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3 years ago