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Over [174]
3 years ago
8

Which relation is a function?

Mathematics
2 answers:
Fed [463]3 years ago
7 0

Answer:

Bottom left graph

Step-by-step explanation:

Given are four graphs and we have to find out which is a function.

Any mapping from ordered pair x to y is a relation.

All relations need not be functions

A relation is a function only if the graph satisfies the vertical line test.

i.e. if we draw any vertical line in any point of the domain the line should cut the curve only at one point.  Even if this is violated for one point, the relation is not a function

In the graph given, I one on top left has so many points on the vertical line. Hence not a function.  II is a parabola open right and vertical line cuts atleast in two points one above and one below the x axis and not a funciton.

Bottom right most is a circle and any vertical line has two points of intersection above and below the x axis.

Bottom left is a graph since any vertical line cuts at only one point.

Answer is bottom left graph

Rzqust [24]3 years ago
6 0
The one in the bottoms left corner since no x values are repeated more than once
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Find the equation for the parabola with vertex (1,4) that passes through the point (3,8)
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Answer:

y=(x-1)²+4

Step-by-step explanation:

The equation for a parabola in vertex form is y=a(x-h)²+k

(h,k) represents the vertex of the parabola

The value of "a" represents the stretch or compression factor

Since the vertex is (1,4) this means (h,k)=(1,4). To find the value of a, we plug in (3,8) as (x,y) in the equation:

y=a(x-h)²+k

8=a(3-1)²+4

8=a(2)²+4

8=a(4)+4

8=4a+4

4=4a

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Since a=1 the parabola doesn't compress or stretch. This means that our final equation is y=(x-1)²+4

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3 years ago
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Answer

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Step-by-step explanation:

8 0
3 years ago
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Answer:

m = - 7

Step-by-step explanation:

Given

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3 years ago
Three friends live in three different states. Monica lives in Rhode Island, Anthony lives in Ohio, and Thomas lives in Colorado.
steposvetlana [31]

Sales tax in Colorado is 2.85%, in Ohio is 5.50%, and in Rhode Island is 7%.

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