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fenix001 [56]
3 years ago
6

explain why a graph that fails the vertical-line test does not represent a function. Be sure to use the definition of a function

in your answer.
Mathematics
2 answers:
miss Akunina [59]3 years ago
6 0
A function is defined as a relation in which  each element of a given set (the domain of the function) is associated with an element of another set ( the range of the function).

Note that it is ' an element' in the second set  NOT more than one element.

If a graph fails the vertical line test ( the line passes through the graph more than once) it means that there is more than one element in the range  associated with the element in the domain - so it is not a function.
noname [10]3 years ago
5 0

Answer:


Sample Response: If a vertical line intersects a graph more than once, then the graph has more than one y-value for a given x-value. You can't have two y-values for an x-value in a function. Therefore, the graph is not a function.


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5=27
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Eg:12-7=5
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22-17=5
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4 years ago
Use the distributive property to remove the parenthesis <br><br> (x+7)8
dimaraw [331]
8x+56

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Anumeha is mowing the lawns for a summer job. For every mowing job, she charges and initial fee of $10 plus a constant fee for e
ExtremeBDS [4]

Answer:

F(t) = 10 +5t

Step-by-step explanation:

Income equals the initial fee plus the hours worked times the hourly rate

We know the initial fee = 10

hours = t

hourly rate =r


F(t) = 10 + r*t

We know a 5 hour job is 35 dollars

35 = 10 + r*5

Subtract 10 from each side

35-10 = 10-10 +5r

25 = 5r

Divide by 5

25/5 = 5r/5

5 =r

The hourly rate is 5

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8 0
3 years ago
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Archy [21]

Answer:

y = -2(x + 1)^2 + 8

Step-by-step explanation:

The equation of a parabola can be written in the form;

y = a(x-h)^2 + k

where a is the multiplier (h,k) is the vertex

so h = -1 and k = 8

Plug in these values

y = a(x + 1)^2 + 8

So to get the value of a, we use the point where the parabola passes through which is the point (1,0)

Simply substitute the values of x and y

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0 = a(2)^2 + 8

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So therefore the equation of the parabola is ;

y = -2(x + 1)^2 + 8

7 0
3 years ago
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