Exam 3: Functions and Graphs

The domain of f(x)= is

Let f(x)= .Find f(4)- f(-4)

If f(x)= 4 - 3x,then (f ∘ f)(x)=

Given f(x,y)= - yx,find f(u + v,u - v).

To obtain a graph of y = 7( from the graph of y = 7 ,which of the following statements is true?

To encourage an even flow of customers,a restaurant varies the price of an item throughout the day.From 6:00 P.M.to 8:00 P.M.customers pay full price.At lunch from 10:30 A.M.until 2:30 P.M.customers pay half price.From 2:30 until 4:30 customers get a dollar off the lunch price.From 4:30 P.M.until 6:00 P.M.customers get $5.00 off the dinner price.From 8:00 until closing time at 10:00 customers get $5.00 off the dinner price.Write a compound function to represent the cost of an item throughout the day for a dinner price of d.

Find an equation of the plane that is parallel to the x,y-plane and that passes through the point (2,-6,4).

Tom has saved $1500 for a vacation.He plans to spend $250 a week on his vacation.Write an equation to represent the amount in savings and identify the intercepts.

The area of a circle depends on the length of its radius. (a)Write a function a(r)for the area of a circle. (b)How many square units of sod are needed to cover a circular grass area of radius x? (c)If the radius of the circular grass area is increased by 2 feet,how much more sod is needed? (d)How much more sod is needed per foot increase? (e)If the radius of a circular grass area is increased by h,how much more sod is needed? (f)How much more sod is needed per unit increase?

Let h(x)= .Find functions f and g such that h = f ∘ g.

If f(x)= and g(x)= - 7,then f(g(7))=

A daily round trip train ticket to the city costs $4.25.Let x represent the passenger's income and y represent the cost of a daily round trip train ticket.Write an equation which represents the relationship between the cost of a daily round trip ticket and a passenger's income; describe the graph of this equation,and identify the intercepts.

The graph of y = is symmetric about the

Find: (a)the degree and (b)the leading coefficient of the polynomial function P(x)= - + 6 - 9 + 7x + 3

In June,Gail decided to save $20.00 a week.She saved for 14 weeks and then for 14 weeks she spend $20.00 a week on gifts.Graph the absolute-value function to represent the amount of money Gail had in savings over the appropriate domain.

Let p = 500 - q represent a demand equation for a product where p is unit price and q is quantity with the restriction 0 ≤ q < 1000.Express the quantity q as a function of p.

If g(x)= ,find g(-5).

The height of an object thrown in the air depends on the time since it's been thrown.For a particular situation the height in meters of an object after t seconds can be represented by h(t)= 20t - 4.9 . (a)What is the domain of this function out of context? (b)What is the domain of this function in the given context? (c)Find h(s),h(s + 2),and h(s + 6). (d)Use an equation to describe what happens to the height if the time increases by a constant d.

Sketch the surface x + y = 3.

If f(x)= 5 - 8x,find: (a)the domain (b)f(1) (c)f(-2) (d)f (e)f(t) (f)f(x + 2)