Write an inequality that represents this situation below. Be sure to define your variable in words.
1 answer:
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Answer:
Range is {y | y ≥ –11}
Step-by-step explanation:
This is quadratic equation.
<em>A quadratic equation's range can be found if we find the vertex.</em>
For quadratic equations that have a positive number in front of , it is upward opening and thus <u>all the numbers greater than or equal to the minimum value of vertex is the range.</u>
The formula for vertex of a parabola is:
Vertex =
Where,
is the coefficient of
is the coefficient of
From our equation given, and
Now, coordinate of vertex is
coordinate of the vertex IS THE MINIMUM VALUE that we want. We get this by plugging in the
value [
] into the equation. So we have:
Hence, the range would be all numbers greater than or equal to
Third answer choice is the right one.
Y = the square root of x minus 2 is portrayed in the file attached below.
As you can see, the domain (x value) begins at 2. We can use interval notation to say that the domain is [2, infinity) Infinity because it will stretch out to infinity. While the range will be [0,infinity) (message me if you don't recognize these concepts please.)
As you can see, the domain (x value) begins at 2. We can use interval notation to say that the domain is [2, infinity) Infinity because it will stretch out to infinity. While the range will be [0,infinity) (message me if you don't recognize these concepts please.)