Given the function t ( x ) = ⎧ ⎪ ⎨ ⎪ ⎩ 5 x − 3 x ≤ − 3 x 2 − 10 x + 1 − 3 < x ≤ 5 3 x + 7 x > 5 Calculate the following values: t ( − 3 ) = t ( 8 ) = t ( − 4 ) = t ( − 1 ) =

Answer 1

Hard to follow your question but I think it is:

To find t(-3) look for the rule where x = -3 is included in the interval for that rule. It's the top one. Then plug in x = -3 into that rule so 5(-3) - 3 = -18 therefore t(-3) = -18

To find t(8), look for the rule that goes with x = 8 then plug in x = 8 into that rule.

Repeat for the other numbers