Exam 3: Functions and Graphs

If f(x)= and g(x)= x + 1,find: (a)f(g(x))and (b)g(f(x)).

If f(p,q)= 3 - 2q+ p,find f(-1,2).

If f(x)= + x,then f(-2)=

Sketch a graph of f(x)= + 7

Sketch a graph of f(x)= |x| + 4

Julie lives 32 miles from the city.She drove home from the city at a constant rate of 60 mph along the highway.At the exit 2 miles from her home,she realized she had left her purse at the department store.She immediately returned to the department store at a rate of 60 mph.Graph the absolute-value function to represent Julie's distance from home as she drove home from the city over the appropriate domain.

Suppose the weekly supply function for a large pizza at a local pizza parlor is p = . (a)How many large pizzas will be supplied if the price is $12.50 per pizza? (b)How many large pizzas will be supplied if the price is $18.75 per pizza? (c)How does the amount supplied change as the price increases?

The domain of f(q)= is

In June Gail decided to save $20.00 a week.She saved for 14 weeks and then for 14 weeks she spent $20.00 a week on gifts.Write an absolute-value function to represent the amount of money Gail had in savings.

Find the domain of the function: f(q)=

The domain of the function f(x)= is

Use a graphing calculator to find all real roots of the equation.Round answers to two decimal places,if necessary:

The domain of f(t)= is

Find the domain of the function: f(t)=

Determine whether the graph of y = is symmetric about the x-axis,the y-axis,the origin,or the line y = x.

A coat costs x wholesale.The price the store pays is given by the function s(x)= 1.2x where x is the wholesale price.The price the customer pays is c(x)= 2x + 50 where x is the price the store pays.Write a composite function to find the customer's price as a function of the wholesale price.

If (f(x)= 3 - 2x,find f(f(x)).

If f(x)= 5 - x and g(x)= - 3x + 4,find: (a)(f + g)(x) (b)(f - g)(x) (c)(f - g)(2) (d)(fg)(x) (e)(fg)(0) (f) (x) (g)f(g(x)) (h)g(f(x)) (i)g(f(1))

Find the domain of the function: F(x)=

If g(s)= - s,find: (a)the domain (b)g(0) (c)g(3) (d)g(-4) (e)g