Provide a suitable domain and range to complete the definition of each function.
a. let f(x) = 2x + 3.
b. let f(x) = 2x.
c. let c(x) = 9x + 130, where c(x) is the number of calories in a sandwich containing x grams of fat.
d. let b(x) = 100(2)x, where b(x) is the number of bacteria at time x hours over the course of one day.

Step-by-step explanation:

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

a.

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.

It is a linear function .

Domain=R

Range=R

c.

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)=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

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

in problems involving proportions, we can use cross products to test whether two ratios are equal and form a proportion. to find the cross products of a proportion, we multiply the outer terms, called the extremes, and the middle terms, called the means.

hope it