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:
The equation of the line with slope 6 and containing the point (0, 4) will be:
The graph of the line y = 6x+4 is attached below.
Step-by-step explanation:
The slope-intercept form of the line equation
where
- m is the slope
- b is the y-intercept
Given
- The slope m = 6
- The point (0, 4)
The y-intercept can be determined by setting x = 0 and determining the corresponding value of y.
The point (0, 4) indicates that:
at x = 0, y = 4
Thus, the y-intercept b = 4
now substituting b = 4 and m = 6 in the slope-intercept form of the line equation
Thus, the equation of the line with slope 6 and containing the point (0, 4) will be:
The graph of the line y = 6x+4 is attached below.
