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Step-by-step explanation:

x²-11x+32=4

x²-11x+28=0

(x-4)(x-7)=0

x=4 or x=7

x²+8x-5=4

x²+8x-9=0

(x+9)(x-1)=0

x=-9 or x=1

x²+x+4=5x+1

x²-4x+3=0

(x-1)(x-3)=0

x=1 or x=3

x²+x-24=-8x-2

x²+9x-22=0

(x+11)(x-2)=0

x=-11 or x=2

the given growth  function for the length of the fish (cm) is

f(m) = 5(1.07)m = 5.35m

where 

m = months

at the end of the study, the length is 9.19 cm. the  time for conducting the study is determined as

5.35m = 9.19

m = 1.7178 months

part a.

the study was performed over a time period  of about 1.72 months. therefore  the domain for  plotting the function is 0 < = m < = 1.72.

note:

if growth  continues at this rate for up to m months, then the domain would be 0< =m< =m.

part b.

the growth function is a linear function.

when m=0, f=0.

therefore the initial growth is zero, which represents the y-intercept.

part c.

assume that the growth function is valid for 0< =m< =9.

the average rate of change of the function is the slope of the linear function, which is 5.35 cm/month.