Exam 3: Functions and Graphs

Find the inverse of the function: f(x)= ,for x ≥ 3

Sketch the graph of ,and give the domain and range.

The perimeter of a square depends on the length of its side. (a)Write a function p(l)for the perimeter of a square when the length of its side is l. (b)What is the domain of this function out of context? (c)What is the domain of this function in the given context? (d)Find p(x),p(2x)and p(3x). (e)What happens to the perimeter of a square when the side is scaled by a factor s? Describe using an equation.

If f(x)= 4 - ,find

Suppose the yearly supply function for a particular actor to star in a film is p = 150,000x. (a)How many films per year is the actor willing to produce if he earns $300,000 per film? (b)How many films per year is the actor willing to produce if he earns $900,000 per film? (c)How does the amount supplied change as the price increases?

For the polynomial function f(x)= 4 - 6x - , Find: (a)the degree,and (b)the leading coefficient

Sketch a graph of f(x)= + 1

List the graphical transformations,in the correct order,that must be done to y = f(x)to produce the graph of y = 2f(x + 3)- 5.

Sketch a graph of f(x)= + 4

Which equation below defines y as a function of x?

Find: (a)the degree and (b)the leading coefficient of the polynomial function f(x)= 5x + 7.

If f(x)= 2 - 3x + 4,then f(x + 1)=

(a)Sketch the graph of y = f(x)= 2x + 6.(b)Determine the intercepts.State (c)the domain and (d)the range of f.

Bill has charged $2300 on his charge card.He plans to pay $60 a month on his charge cards.Write an equation to represent the amount he owes excluding any finance charges,and identify the intercepts.

The weekly salary of an hourly employee depends on the number of hours worked.Employers are required to pay time and a half if an employee works over 40 hours per week.Suppose an employer refuses to pay time and a half and time cards are recorded in half-hour increments. (a)Write a function s(h)for the weekly salary if a person's hourly pay is $12.25 and the number of hours worked is h. (b)What is the domain of this function out of context? (c)What is the domain of this function in the given context? (d)Find s(t),s(t - 5),and s(t - 7). (e)What happens to the salary if the work time decreases by a constant m? Describe using an equation.

If g(x)= (a)find the domain of f(x) (b)find f(2)+ f(-2)

Suppose a committee of 6 people is to be selected from a group of 25.How many groups are possible? Represent as a factorial and give the solution.

Sketch a graph of y =

If f(t)= 1.9 - 3.1x + 2.01,then find f(x + 1.1).

If f(x)= and g(x)= 2 ,find (f(g(x)).