The function $f ( x ) = \frac { x } { 2 x + 1 } - 5$ will decrease by approximately 0.6 as x decreases from 3 to 2.7.

Question

Quizplus · Accepted Answer

The change in the function value as $x$ decreases from 3 to 2.7 can be calculated by substituting these values into the function. For $x = 3$, $f(3) = \frac{3}{2(3) + 1} - 5 = \frac{3}{7} - 5$. For $x = 2.7$, $f(2.7) = \frac{2.7}{2(2.7) + 1} - 5$. The actual change in the function value is determined by the difference $f(2.7) - f(3)$, which does not necessarily approximate to a decrease of 0.6 without performing the specific calculations.

The Function f(x)=x2x+1−5f ( x ) = \frac { x } { 2 x + 1 } - 5f(x)=2x+1x​−5

The Function $f ( x ) = \frac { x } { 2 x + 1 } - 5$