The functions <em>f</em> and <em>g</em> have different axis of symmetry
The y-intercept of <em>f</em> is higher than the y-intercept of <em>g</em>
Over the interval [-6, -3], the average rate of change of <em>f</em> is more rapid than the average rate of change of <em>g</em>
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The known value in the question includes the following
The given table of f(x) and <em>x</em>, from which we have;
The point of the minimum value, which is the vertex = (-3, -10)
The axis of symmetry, of a parabola is the vertical line passing through the vertex such that the y-values at equal distance from the line on either side are equal is the line x = -3
The y-intercept, which is the point the graph intercepts with the y-axis or where x = 0 is the point (0. 8)
Over the interval [-6, -3], the average rate of change of <em>f</em> = (-10 - 8)/(-3 -(-6)) = -6
From the graph of g(x), we have;
The axis of symmetry is the line x = -3
The y-intercept = (0, -2)
Over the interval [-6, -3], the average rate of change of <em>g</em> ≈ (6 - (-2))/(-3 -(-6)) = 8/3
Therefore, we have the correct options as follows;
The functions <em>f</em> and <em>g</em> have different axis of symmetry
The y-intercept of <em>f</em> is higher than the y-intercept of <em>g</em>
Over the interval [-6, -3], the average rate of change of <em>f</em> is more rapid than the average rate of change of <em>g</em>
Learn more about parabola here;
brainly.com/question/22213822
