Exam 3: Functions and Graphs

List the graphical transformations,in the correct order,that must be done to y = f(x)to produce the graph of y = -f(x - 5)+ 4.

Use the graph of y = f(x). Sketch a graph of y = f(x + 3).

The time it takes to go a given distance depends on the rate. (a)Write a function t(r)for the time it takes if the distance is 400 miles and the rate is r miles per hour. (b)How much time is needed when the rate is x? (c)If the speed is increased by 10 miles per hour,how much less time is needed? (d)How much less time is needed per mile per hour increase? (e)If the speed is increased by h,how much less time is needed? (f)How much less time is needed per unit increase?

If g(x)= ,find g(x - 1)

Determine whether or not the function is one-to-one: f(x)= |x - 8|.

A car costs x wholesale.The price the dealer pays is given by the function s(x)= x + 500,where x is the wholesale price.The price the customer pays is c(x)= x + 1500 where x is the price the dealer pays.Write a composite function to find the customer's price as a function of the wholesale price.

Find the inverse of the function: f(x)= 8x + 3

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

In the equation + 2x + 3xy + = 11,is x a function of y?

Let h(x)= 3(x - + 7(x - + 8(x - 1)+ 11.Find functions f and g such that h = f ∘ g.

The domain of f(s)= is all real numbers s such that

By looking a the graph below: (a)list all values for which f(x)= 0 (b)f(2)= (c)f(-2)= (d)domain of f is? (e)range of f is?

Determine whether the graph of x = - 4 is symmetric about the x-axis,the y-axis,the origin,or the line y = x.

Find an equation of the plane that is parallel to the x,z-plane and that passes through the point (-3,2,5).

The graph of y = f(x)is shown below.(a)What is the domain of f? (b)What is the range of f?

The train holds 175 passengers.It departs daily at 9:00 a.m.Let x represent the time and y represent the number of passengers.Write an equation which represents the relationship between the number of passengers on the train and the train's departure time.Describe the graph of this equation,and identify the intercepts.

f(x)= Find: (a)f(6.3); (b)f(0)

Determine the x- and y-intercepts of the graph of y = + x - 12.

An equation fo the plane that is parallel to the y,z-plane and that passes through (4,6,9)is

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