The graph of the function f(x) = (x – 4)(x + 1) is shown below. On a coordinate plane, a parabola opens up. It goes through (neg
ative 1, 0), has a vertex at (1.75, negative 6.2), and goes through (4, 0). Which statement about the function is true? The function is increasing for all real values of x where x < 0. The function is increasing for all real values of x where x < –1 and where x > 4. The function is decreasing for all real values of x where –1 < x < 4. The function is decreasing for all real values of x where x < 1.5.
2 answers:
Answer:
The function is decreasing for all real values of x where x < 1.5.
Step-by-step explanation:
we have
This is a vertical parabola open upward
The vertex is a minimum
The vertex is the point (1.5,-6.25)
we know that
The function is decreasing in the interval ----> (-∞,1.5) x < 1.5
That means----> the function is decreasing for all real values of x less than 1.5
The function is increasing in the interval ----> (1.5,∞) x> 1.5
That means----> the function is increasing for all real values of x greater than 1.5
see the attached figure to better understand the problem
therefore
The statement that is true is
The function is decreasing for all real values of x where x < 1.5.
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