Question

Provide a suitable domain and range to complete the definition of each function.

Answer 1

Answer:

Step-by-step explanation:

We  have to find the domain and range of each function.

a.$f(x)=2x+3$

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.$f(x)=2x$

It is a linear function .

Domain=R

Range=R

c.$C(x)=9x+130$

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.$B(x)=100(2)^x$

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

$B(0)=100(2)^0=100$

$B(1)=100(2)^1=200$

$B(2)=100(2)^2=400$

Range of B={100,200,200,800,...}