Find the smallest value of the linear function y = -x-1 [-4; 5].

Any linear function can be represented as: y = kx + b. If k> 0, then the linear function will increase, if k <0, then the function will decrease.

In the function y = -x – 1, the coefficient k = -1, therefore, the function is decreasing and the linear function will acquire the smallest value at the largest value of x (x = 5).

y (5) = -5 – 1 = -6.

Answer: The smallest value of the function y = -x – 1 is -6.



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