Which of the following summarizes the end behavior of the function g(x) = 4x2 - x?
1 answer:
Answer:
see the explanation
Step-by-step explanation:
we know that
The end behavior of a polynomial function is the behavior of the graph of f(x) as x approaches positive infinity or negative infinity
In this problem we have
This is a vertical parabola open upward
The vertex is a minimum
so
as x approaches positive infinity ----> the value of g(x) approaches positive infinity
as x approaches negative infinity ----> the value of g(x) approaches positive infinity
f(x)→+∞, as x→−∞
f(x)→+∞, as x→+∞
see the attached figure to better understand the problem
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Answer:
Step-by-step explanation:
3x-y = 2
2x+y =4
put them into slope intercept form
y=3x-2
y=-2x+4
Now, you can either graph it or use substitution
3x-2 = -2x+4
+2x +2x
5x -2 = 4
+2 +2
5x = 6
5x/5 = 6/5
x = 6/5
3x -2 = y
3(6/5) -2 = y
3 x 6 / 1 x 5 = 18/5
3 3/5 -2 = 1 3/5
Let me know if it's wrong.
Hope this helps
Answer:
Option B:
Step-by-step explanation:
The parabola has its concavity downwards, so we need a function in the model:
With a negative value of 'a'
The vertex is (0,0), so we have that:
The x-coordinate of the vertex is given by the equation:
So we have a function in the model:
With a < 0
The only option with this format is B: