Question 1

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

Accepted Answer

The answer of If f(x)= 3x - 1,find ...

Question 2

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

Accepted Answer

A)  none 
B)  one 
C)  two 
D)  three 
E)  all

Question 3

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

Accepted Answer

The answer of Let f(t)=  
- 1,find (a)f(3t); (b)3...

Question 4

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

Accepted Answer

The answer of Sketch the graph of s = f(t)=...

Question 5

Sketch a graph of f(x)=  
+ 3

Accepted Answer

The answer of Sketch a graph of f(x)=  
+...

Question 6

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

Accepted Answer

The answer of Determine whether the graph y = ...

Question 7

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.

Accepted Answer

The answer of Julie lives 32 miles from the city.She...

Question 8

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

Accepted Answer

The answer of Sketch a graph of f(x)= |x +...

Question 9

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

Accepted Answer

The answer of Find the domain of the function f(x)=...

Question 10

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

Accepted Answer

A)  Domain: all real numbers Range: all real numbers 
B)  Domain: all real numbers Range: all real numbers greater than or equal to -1 
C)  Domain: all real numbers greater than or equal to -1 Range: all real numbers 
D)  Domain: all real numbers Range: all nonnegative real numbers 
E)  Domain: all nonnegative real numbers Range: all real numbers less than or equal to -1

Question 11

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

Accepted Answer

A)  0. 
B)  1. 
C)  2x + h + 3. 
D)  4x + 3h - 2. 
E)

Question 12

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

Accepted Answer

A)  (3, 0). 
B)  (0, -3). 
C)  (1,0), (0, 3). 
D)  (±1, 0), (0, 3). 
E)  (0, 0), (±1, 0), (0, -3).

Question 13

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

Accepted Answer

The answer of Find the domain of the function: f(t)=...

Question 14

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.

Accepted Answer

The answer of Under certain conditions,if two brown-eyed parents have...

Question 15

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

Accepted Answer

The answer of If f(x)=  
and g(x)= 3 ...

Question 16

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

Accepted Answer

The answer of Let f(x)=  
+ 3x + 1...

Question 17

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?

Accepted Answer

The answer of Suppose the weekly demand function for a...

Question 18

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

Accepted Answer

A)  2. 
B)  -2. 
C)  0. 
D)  -14. 
E)  14.

Question 19

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

Accepted Answer

The answer of  
; g(x)=  
- 4.
Find:
(a)(f ∘...

Question 20

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

Accepted Answer

The answer of Find an equation of the plane that...

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

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)

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).