How to find the largest and smallest value of the function y = 6-2x in the segment -1; four.

univerkov | July 17, 2021 | education

We have a function y = 6 – 2 * x. Let’s find its smallest and largest values on the segment [-1; four].

Let’s look at the formula for our function. This is the formula of a straight line, and since the variable has a negative numerical coefficient, the function is decreasing – the straight line tends downward. The segment given in the task is not an exception – the larger the value of the argument corresponds to the smaller the value of the function, and vice versa.

Find the smallest value (with the largest argument): 6 – 2 * 4 = -2.

Find the largest value (with the smallest argument): 6 – 2 * (-1) = 8.

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