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algol [13]
3 years ago
5

What is the vertex of the absolute value function defined by f(x)=|x+2|+4?

Mathematics
1 answer:
labwork [276]3 years ago
5 0
There is no maximum value for the term inside the absolute value signs, but there is an absolute minimum, being zero when x=-2. And when x=-2, y=4, and that is your vertex:

(-2, 4)
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89

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nata0808 [166]
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3 0
3 years ago
Question 3
makvit [3.9K]
1) Question 3

The system

y = 3.5x - 3.5

y = -3.5x +3.5

has one solution.

To find it, you can add the two equations:

2y = 0 => y =0

Now replace that value in any of the two original equations.

Doing it with the first of the equations:

=> 3.5x - 3.5 = 0=> 3.5x = 3.5 = x = 3.5 / 3.5 = 1

Solution (1,0)

Answer: one solution.

2) Question 4

<span>The graph of a system of equations will intersect at more than 1 point.

Some times:

For example:

y = x + 2
2y = 2x + 4
Intersects in infinite points.

y = x + 2
y = x + 3
will not intersect

y = 2x
y = x+1
will intersect at one point.

And a system with a quadratic equation and a  linear equation may drive to intersection in two points.
</span>
4 0
3 years ago
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