Given the values of the linear functions f (x) and g(x) in the tables, where is (f – g)(x) positive?
1 answer:
From the tables, and definitions of functions, it is found that the function (f - g)(x) is positive in the interval (–∞, –2).
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- The function (f - g)(x) is given by:
- Thus, it will be positive if:
- Looking at the table, and considering that it is a linear function, we have that f(x) > g(x) if x < -2.
- Thus, (f - g)(x) is positive in the interval (–∞, –2).
A similar problem is given at brainly.com/question/24388889
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Answer:
A. 3
B. 4
C. 1
D. 2
Step-by-step explanation:
Consider all equations:
A.
This is the equation of parabola with vertex at point
The y-intercept is at point
Since
,
the x-intercepts are at points (2,0) and (4,0)
The leading coefficient is 1 > 0, then the parabola opens upwards.
Hence, the graph of this parabola is 3.
B.
This parabola has two x-intercepts at points (6,0) and (-8,0).
The leading coefficient is 1 > 0, then the parabola opens upwards.
The only possible choice is parabola 4.
C.
This parabola has the vertex at point (6,8), opens upwards, therefore does not intersect the x-axis.
The graph of this parabola is 1.
D.
This parabola has two x-intercepts at points (6,0) and (-8,0).
The leading coefficient is -1 > 0, then the parabola opens downwards.
The only possible choice is parabola 2.