Question

X. F(x)

Answer 1

Answer:

• A.  There is a line symmetry at x=1.5
• D.  There are x- intercepts at (-1,0) and (4,0)

Step-by-step explanation:

The average of x-coordinates corresponding to the same F(x) value is 1.5. That is ...

  (-2+5)/2 = (-1+4)/2 = (0+3)/2 = 1.5

The values in the table appear to be symmetrical about x=1.5, so that is a line of symmetry.

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The x-intercept points are those points where F(x) = 0: (-1, 0) and (4, 0).

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The y-intercept is (0, -4), not (-4, 0).

On the interval [0, 5] the function is both decreasing and increasing.