Question

you might need: calculator\\(f(t) = \

$$\begin{cases} t^2 - 5t &, \\ t \\leq -10 \\\\ t + 19 &, \\ -10 < t < -2 \\\\ \\dfrac{t^3}{t + 9} &, \\ t \\geq -2 \\end{cases}$$

\\)\\(f(-10) = \square\\)

Explanation:

Step1: Identify correct function piece

For $t=-10$, use $f(t)=t^2-5t$

Step2: Substitute $t=-10$

$f(-10)=(-10)^2 - 5(-10)$

Step3: Calculate each term

$(-10)^2=100$, $-5(-10)=50$

Step4: Sum the results

$f(-10)=100+50$

Answer:

150