Answer:
To determine if a graph is a function, we need to check if each input (x-value) has a unique output (y-value). We can do this by performing the vertical line test.
Here's how you can determine if a graph is a function using the vertical line test:
1. Imagine drawing a vertical line anywhere on the graph.
2. If the vertical line intersects the graph at more than one point, then the graph is not a function.
3. However, if the vertical line intersects the graph at only one point, then the graph is a function.
So, if you have a specific graph in mind, you can visualize drawing vertical lines and see if they intersect the graph at more than one point. If they do, then the graph is not a function. If each vertical line intersects the graph at only one point, then the graph is a function.
Step-by-step explanation:
The coordinates of the vertex of the graph are (-2, -9).
The quadratic function is described by the standard equation The graph of a quadratic function is called a parabola.
We have the quadratic function
Finding the minimum value is as follows:
Therefore, the coordinates of the vertex of the graph are (h, k), i.e.,
Other components:
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Based on the calculations, the coordinates of the vertex(h, k) of this graph are equal to (-2, -9).
In Mathematics, the standard form of a quadratic equation is given by;
ax² + bx + c = 0
Note: The graph of any quadratic function is known as a parabola.
From the given quadratic function, we have:
f(x) = x² + 4x - 5
For its coefficients, we have:
Next, we would determine the coordinates of the vertex of this graph:
x = h = -b/2a
h = -4/2(1)
h = -4/2
h = -2.
Also, we can deduce that the parabola of this graph opens upward because "a" is greater than zero (0), which produces a vertex that is a minimum:
f(h) = k
f(-2) = k = (-2)² + 4(-2) - 5
f(-2) = k = 4 - 8 - 5
k = -9.
Vertex (h, k) = (-2, -9).
Read more on vertex here: brainly.com/question/525947
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4.That first one sounds familiar; I think I did it yesterday.
The sides don't matter (except that they're equal) so the base angle b satisfies
b + b + 38 = 180
2b = 142
b = 71
Choice a
5.
42 + 42 + v = 180
v = 180 - 84 = 96
choice d
6. That's three acute angles, an acute triangle
7. We need to satisfy the triangle inequality which means the sum of the two smaller sides needs to be bigger than the largest
10+15>24 so choice b
8.
SRT = RTS = 180 - STU
3x - 50 = 180 - 7x
10 x = 230
x = 23
choice a
Answer:
Step-by-step explanation:
There are 10 total outcomes [numbers from 1 to 10]
What are the numbers that are LESS THAN 2 or GREATER THAN 7?
They are 1, 8, 9, and 10.
That's a total of 4 numbers. Also, total numbers is 10. Hence the probability of obtaining numbers that are less than 2 or greater than 7 is:
Simplifying gives us a probability of