Question

in exercises 1 - 3, evaluate the function when x = - 2.

1. f(x)=x - 3
2. g(x)=-2x
3. h(x)=5 - 3x
4. let c(t) be the number of customers in a department store t hours after 8 a.m. explain the meaning of each statement.

a. c(0)=10
b. c(6)=c(7)
in exercises 5 - 8, find the value of x so that the function has the given value.

1. f(x)=6x; f(x)=-24
2. g(x)=-10x; g(x)=15
3. f(x)=3x - 5; f(x)=4
4. h(x)=14 - 8x; h(x)=-2

in exercises 9 and 10, find the value of x so that f(x)=7.

Explanation:

Step1: Analyze \(c(0) = 10\)

Since \(c(t)\) is the number of customers \(t\) hours after 8 A.M., when \(t = 0\) (i.e., at 8 A.M.), there are 10 customers in the department - store.

Step2: Analyze \(c(6)=c(7)\)

\(c(6)\) represents the number of customers 6 hours after 8 A.M. (i.e., at 2 P.M.) and \(c(7)\) represents the number of customers 7 hours after 8 A.M. (i.e., at 3 P.M.). So, the number of customers in the department - store at 2 P.M. is equal to the number of customers at 3 P.M.

Answer:

a. There are 10 customers in the department - store at 8 A.M.
b. The number of customers in the department - store at 2 P.M. is equal to the number of customers at 3 P.M.