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3 years ago

WILL GET BRANLIEST

Mathematics

1 answer:

erma4kov [3.2K]3 years ago

6 0

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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