Exam 3: Functions and Graphs

If x + - 5 = 0,then x is a function of y.

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

Determine the x-intercepts if they exist.Also determine whether the graph is symmetric about the x-axis,y-axis,the origin,or the line y = x for y = .

Given h(r,s,t,u)= ,find h(2,3,2,15).

Given the function F(t)= ,find: (a)the domain (b)F(-3) (c)F(13) (d)f( + 1)

A train holds 200 passengers and departs daily at 8:00 A.M. (a)Write the daily departure time as a function of the number of people on the train. (b)How does the departure time change as the number of people on the train increases? (c)What kind of function is this?

The Cobb-Douglas production function for a company is given by P = 70 where P is the monthly production value when k is the amount of the company's capital investment (in dollars per month)and l is the size of the labor force (in work hours per month).What is the production value when l = 2401 hours and k = $10,000 per month?

If f(x)= 1.05 + 7.5 - 1.9,then find f(-0.5)

Determine the x-intercepts and y-intercepts if they exist.Also determine whether the graph is symmetric about the x-axis,y-axis,the origin,or the line y = x for 3 = x.

A rectangular sheet of metal has a length that is 2 less than 4 times the width. (a)Write the area of the rectangular sheet as a function of the width. (b)Without simplifying,write the ratio of the length of the sheet to the area of the sheet as a function of the width. (c)Simplify the function you wrote in b. (d)What kind of function is this? (e)What is its domain out of context? (f)What is its domain in the given context?

Let g(x)= ,find

Given the function F(x)= find: (a)the domain (b)F(2) (c)F(-2) (d)F(5)

A coffee shop earns $8.75 for every pound of coffee it sells. (a)Write the profit as a function of the number of pounds of coffee sold. (b)What kind of function is this? (c)What is its degree? (d)What is its leading coefficient?

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 one child will be blue-eyed.

Sketch a graph of f(x)=

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

Given the function P(r,k)= ,r = 0,1,2,...,k; find P(2,4).

Is + + 5 + 6x + a polynomial function or a rational function? Why?

In the equation + = 17; (a)Is x a function of y? (b)Is y a function of x?

Determine the x- and y-intercepts of the graph of y =