Part of the graph of the function f(x) = (x + 4)(x – 6) is shown below. Which statements about the function are true? Select two
options. The vertex of the function is at (1,–25). The vertex of the function is at (1,–24). The graph is increasing only on the interval −4< x < 6. The graph is positive only on one interval, where x < –4. The graph is negative on the entire interval –4 < x < 6.
2 answers:
Answer:
The vertex of the function is at (1,–25)
The graph is negative on the entire interval -4 < x < 6
Step-by-step explanation:
we have
This is a vertical parabola open upward
The vertex is a minimum
using a graphing tool
see the attached figure
The vertex is the point (1,-25)
The x-intercepts or roots of the quadratic function are x=-4, x=6
The graph is increasing on the interval x > 1
The graph is decreasing on the interval x < 1
The graph is positive on two intervals ,where x < -4 and x > 6
The graph is negative on the entire interval -4 < x < 6
therefore
The statements that are true are
The vertex of the function is at (1,–25)
The graph is negative on the entire interval -4 < x < 6
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