Exam 3: Functions and Graphs

If f(x)= 3x - 1,find

Exactly how many of the following equations define y as a function of x? (a)y = 7 - x (b) = 4x (c)y = (d) = y + 4

Let f(t)= - 1,find (a)f(3t); (b)3 × f(t)

Sketch the graph of s = f(t)= .Also determine the intercepts.

Sketch a graph of f(x)= + 3

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

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.Write an absolute-value function to represent Julie's distance from home as she drove home from the city.

Sketch a graph of f(x)= |x + 7| - 4

Find the domain of the function f(x)= 6.

The domain and range of the function f whose graph appears below is

If f(x)= + 3x - 8,then =

The x- and y-intercepts of the graph of y = are

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

Under certain conditions,if two brown-eyed parents have exactly four children,the probability P that exactly r of them are blue-eyed is a function of r and is given by P(r)= . Find the probability that exactly thee children will be blue-eyed.

If f(x)= and g(x)= 3 + 4,find f(g(x)).

Let f(x)= + 3x + 1 and g(x)= -2. (a)Find: (f ∘ g)(x) (b)Find: (g ∘ f)(x)

Suppose the weekly demand function for a pound of the house blend coffee at a local coffee shop is p = 15 - . (a)If the current price is $11.25 per pound,how much coffee is sold each week? (b)If they are selling 180 pounds of coffee each week,what is the current price? (c)If the owner wants to sell 300 pounds of coffee each week,what should the price be?

If g(x)= 2 - 3x + 4,then g(0)- g(2)=

; g(x)= - 4. Find: (a)(f ∘ g)(-1) (b)(g ∘ f)(-1) (c)(f ∘ g)(2) (d)(g ∘ f)(2)

Find an equation of the plane that is parallel to the y,z-plane and that passes through the point (1,2,3).