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Consider the function f(x)=9x^2+54x-66
Over which intervals is the graph increasing, decreasing, or neither? Above each interval on the horizontal axis, select "I" to indicate an increasing interval, "D" to indicate a decreasing interval, or "N" to indicate neither for each section of the number line using the dropdowns below.

WILL GET BRANLIEST Consider the function fx9x254x66 Over which intervals is the graph increasing decreasing or neither Above each interval on the horizontal axi class=

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Answer:

The correct options are;

Answer to A1 is D

Answer to A2 is D

Answer to A3 is D

Answer to A4 is D

Answer to A5 is D

Answer to A6 is D

Answer to A7 is D

Answer to A8 is D

Answer to A9 is D

Answer to B1 is I

Answer to B2 is I

Answer to B3 is I

Answer to B4 is I

Answer to B5 is I

Answer to B6 is I

Step-by-step explanation:

The given function is f(x) = 9·x² + 54·x - 66

The extremum of the function are found as follows;

d(f(x))/dx = 0 = d(9·x² + 54·x - 66)/dx = 18·x + 54

∴ 18·x + 54 = 0 at the maximum or minimum points

x = -54/18 = -3

Given that d²(f(x))/dx² = 18 > 0. x = -3 is a minimum point

Given that the function is a quadratic function, we have;

1) Points to the left of x = -3 are decreasing

2) Points to the right of x = -3 are increasing.

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