QuestionGiven the piecewise function $f(x)$, find: a. $f(-2)$, b. $f\left(-\frac{2}{5}\right)$, c. $f(4)$, d. $x$ if $f(x)=-2.5$.

Studdy Solution
olve for $x$ in the equation $-\frac{}{2}x + \frac{7}{2} = -2.5$.
$$-\frac{}{2}x = -2.5 - \frac{7}{2} = -2.5 -.5 = -6$$$$x = \frac{-6}{-\frac{}{2}} =4$$Since $4$ lies in the interval $2 < x \leq5$, the solution is $x =4$.
So, the solutions area. $f(-2) = -7$ b. $f\left(-\frac{2}{5}\right) = \frac{4}{25}$ c. $f(4) = -2.5$ d. $x =4$ when $f(x) = -2.5$