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lolmaster101
30.08.2019 •
Mathematics
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.
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Ответ:
True options:
1. The vertex of the function is at (1,–25).
5. The graph is negative on the entire interval –4 < x < 6.
Step-by-step explanation:
Part of the graph of the function f(x) = (x + 4)(x – 6) is shown in attached diagram.
This graph intesects the x-axis at points (-4,0) and (6,0). So, the x-coordinate of the vertex is![\dfrac{-4+6}{2}=\dfrac{2}{2}=1](/tpl/images/0210/6204/b7cc5.png)
The y-coordinate of the vertex is
Hence, the vertex is ar the point (1,-25) - frist option is true, second option is false.
For all
the graph is decreasing, for all
the graph is increasing. So, third option is false.
The graph is positive (placed above the x-axis) for all
or
. This means fourth option is false.
The graph is negative (placed below the x-axis) for all
. This means fifth option is true.
Ответ:
Actually i cant fold it more than 6 times because the thickness going arund in each fold would consume to much.