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andreyandreev [35.5K]
4 years ago
8

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

Mathematics
1 answer:
photoshop1234 [79]4 years ago
4 0

Answer:  NO

<u>Step-by-step explanation:</u>

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. <em>One example is that there are two x-intercepts.</em>

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ABCD is a isosceles trapezoid with AB=10, DB=8 and angle A=120 degrees what is the length of CD
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Answer:

The answer is 10.6 (I'm sorry if it's wrong)

Step-by-step explanation:

found out what D and B is (they both are 4 I think) then add 10 with 8 then divide 120 with 18 which is 6.6 then add what D is and then I got 10.6

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Which is the better buy, 6 ballpoint pens for $4.80 or 8 for $6.48? Explain how you got your answer.
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Answer:

6 ballpoints pens is the better buy

Step-by-step explanation:

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$6.48 x 8 = $51.84

It's cheaper

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3 years ago
I HAVE A MATH TEST PLZ HELP I'M GIVING OUT 50 POINTS PLZ<br><br> S.O.S I HAVE MATH
Nady [450]

Answer:

<em>Graph included as picture</em>

Step-by-step explanation:

To solve this, plot the given points on the graph

Draw a line through them.

Now select two of those values and we'll find the rate of change.

We'll be using (1,-1) and (3,3)

To find rate of change we will be using the formula: \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

y_{2} = 3\\y_{1} =-1\\x_{2} = 3\\x_{1} = 1

\frac{3-(-1)}{3-1} = \frac{4}{2} = 2

So the rate of change is 2

You will use this rate of change for your other function because they both have the same rate of change

Since we have the rate of change, we can create the slope intercept form formula: y = mx +b

Just substitute for the variables we know

m = rate of change/slope = 2

b = y-intercept = -3

y = 2x + -3

<em>[If you connected all the points in your graph, that's how you found the y-intercept]</em>

Now we have to create the formula for the second function.

We know it will have that same slope of 2

so we have y = 2x + b

To solve for b we can plug in the values we do have which would be (x,y) of (3,6)

6 = 2(3) + b

Now solve

6 = 6 + b

6 (-6) = 6 (-6) + b

0 = b

b = 0

This mean that the y-intercept will be on (0,0)

Plot that point

Now we finish the formula

y = 2x + 0

Connect the dots, make sure the line continues on both of them past the dots and now you have your graph!

I've included a picture of the graph for your reference. I hope this helps, don't be afraid to reach out with further questions!

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3 years ago
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