PLEASE HELP PLEASE HELP
1 answer:
You might be interested in
Answer:
Yes, each x-value has a unique y-value.
Step-by-step explanation:
This is a function because each x-value has its own y-value. If this is not the case then it is not a function, because then, two points with the same x-value and different y-values would fail the VLT.
Your graph does not have overlaps and each x-value has a unique y-value
VLT
The vertical line test (VLT) is a <u>simple method that mathematicians made because</u><u> they were lazy</u><u> to make a table of values and find duplicates. </u>
<u />
- Passing the VLT means that if you drew a vertical line anywhere on the graph, it would only go through one point.
- Failing the VLT would mean that the vertical line
A quick way to check if it is a function is by looking for duplicates of x-values and check that the duplicates have the same y-value.
-Chetan K
Images/Examples
Answer:
In a quadratic equation of the shape:
y = a*x^2 + b*x + c
we hate that the discriminant is equal to:
D = b^2 - 4*a*c
This thing appears in the Bhaskara's formula for the roots of the quadratic equation:
You can see that the determinant is inside a square root, this means that if D is smaller than zero we will have imaginary roots (the graph never touches the x-axis)
If D = 0, the square root term dissapear, and this implies that both roots of the equation are the same, this means that the graph touches the x axis in only one point, wich coincides with the minimum/maximum of the graph)
If D > 0 we have two different roots, so the graph touches the x-axis in two different points.