Question

3.) $z(t) = 2t^2 + 7t - 4$
$z(-1) = 2(-1)^2 + 7(-1) - 4 = $
$z(t) = 2t^2 + 7t - 4$
$z(4)$

Explanation:

Step1: Evaluate $z(-1)$: Substitute $t=-1$

$z(-1)=2(-1)^2 + 7(-1) - 4$

Step2: Calculate powers and multiplications

$z(-1)=2(1) - 7 - 4 = 2 - 7 - 4$

Step3: Compute final value for $z(-1)$

$z(-1)=2 - 11 = -9$

Step4: Evaluate $z(4)$: Substitute $t=4$

$z(4)=2(4)^2 + 7(4) - 4$

Step5: Calculate powers and multiplications

$z(4)=2(16) + 28 - 4 = 32 + 28 - 4$

Step6: Compute final value for $z(4)$

$z(4)=60 - 4 = 56$

Answer:

$z(-1) = -9$, $z(4) = 56$