H(x)= ⎩
⎪
⎪
⎪
⎪
⎪
⎪
⎪
⎪
⎨
⎪
⎪
⎪
⎪
⎪
⎪
⎪
⎪
⎧


x
3

x
24

−1
(x−1)(x+3)


,
,
,


x∈(−∞,0]
x∈(0,8]
x∈(8,∞)


h
(
−
3
)
=
h(−3)=h, left parenthesis, minus, 3, right parenthesis, equals

h(-3) = -27

Step-by-step explanation:

given that h(-3)

a)

for x³

(-3)³

-27

b)

for -1

     -1

    -8-1

     -9

c)

for (x-1)(x+3)

    (-3-1)(-3+3)

      0

option c) graph of line going through 1, 4 and 3, 10

step-by-step explanation:

let y equal to margo's coin collection

let x equal to number of years

at the begining x=0, y=1 → point=(x,y)→point=(0,1)

she adds 3 coins per year, then y=1+3x

at x=1, y=1+3(1)=1+3→y=4→point=(x,y)→point=(1,4)

at x=3, y=1+3(3)=1+9→y=10→point=(x,y)→point=(3,10)

the graph of line going through (1, 4) and (3, 10), then the option c is the correct.

not sure but it may be b, as i said i'm not sure.