It’s algebra it says find each function value here is a picture of the work sheet

1.

8 > 1  so:  a(x) = -4x + 7

a(8) = - 4(8) + 7 = - 32 + 7 = - 25

2.

-6 ≤ 1 ≤ 1   so:   a(x) = 2x - x²

a(1) = 2(1) - (1)² = 2 - 1 = 1

3.

-7 ≤ -6  so:  a(x) = |x - 8|

a(-7) = |-7 - 8| = |-15| = 15

4.

-6 ≤ -3 ≤ 1   so:   a(x) = 2x - x²

a(-3) = 2(-3) - (-3)² = -6 - 9 = - 15

5.

-6 ≤ -¹/₂ ≤ 1   so:   a(x) = 2x - x²

a(-¹/₂) = 2(-¹/₂) - (-¹/₂)² = - 1 - ¹/₄ = - 1¹/₄

6.

⁹/₄ > 1  so:  a(x) = -4x + 7

a(⁹/₄) = - 4(⁹/₄) + 7 = - 9 + 7 = - 2

answer: 7270

step-by-step explanation:

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752