Answer:
Step-by-step explanation:
We have to find the domain and range of each function.
a.[tex]f(x)=2x+3[/tex]
It is a linear function because the degree of function is 1.Linear function is defined for all real values of x.
Therefore, the domain of given function=R
When we substitute real values in the given function then we get again real values.
Therefore, range of f=R
b.[tex]f(x)=2x[/tex]
It is a linear function .
Domain=R
Range=R
c.[tex]C(x)=9x+130[/tex]
C(x)=Number of calories in a sandwich containing x grams of fat.
x=Mass of fat
Mass is always a natural number.
Domain of C=N
Substitute x=1
C(1)=9(1)+130=139
C(2)=9(2)+130=18+130=148
Range of C={139,148,157,...}
d.[tex]B(x)=100(2)^x[/tex]
B(x)=Number of bacteria
x=Time in hours
Number of bacteria is a natural number and time is always a whole number.
Domain=W
Substitute x=0
[tex]B(0)=100(2)^0=100[/tex]
[tex]B(1)=100(2)^1=200[/tex]
[tex]B(2)=100(2)^2=400[/tex]
Range of B={100,200,200,800,...}
