Reference no: EM131029057
1. f(x)= 2x+5 if -3 <= X <0
-3 if x=0
-5x if x>0
a. Find the domain of each function.
b. Locate any intercepts.
c. Graph each function
d.Based on the graph find the range.
e. Is f continuous on its domain?
2. If f(x)= int(x/2) Find, (a) f(1.2) (b) f(1.6) (c) f(-1.8)
3. Graph y= [x], then on the same screen graph y=2[x],followed by y=4[x],followed by Y=1/2[x]. what pattern do you observe?Can you predict the graph of Y=1/4[x]? Of Y=5[x]?
[x] = Absolute X.
4. Find the function that is finally graphed after the following transformation are applied to the graph of Y= square root of X.
(a) Reflect about x-axis
(b) shift right 3 units.
(c) Shift Down 2 units.
5. If (3,6) is a point on the graoh of Y=f(x) which of the following point must be on the graph of Y=f(-x).
(a) (6,3)
(b) (6,-3)
(c) (3,6)
(d) (-3,6)
6. Suppose that the function Y=f(x) is decreasing on the interval (-2,7).
(a) Over what interval is the graph of Y=f(x+2) decreasing.
(b) Over what interval is the graph of Y=f(x-5) decreasing.
(c) What can be said about the graph of Y= -f(x).
(d) What can be said about the graph of Y= f(-x).
7. Graph each function using the technique of shifting,compressing,stretching and or reflecting. Start with graph of the basic function ( for example Y=x^2) and show all the stages. Be sure to show atleast 3 key points. Find the domain and range of each function.
f(x)= 3(x-2)^2 + 1.
8. f(x)= -3x^2 + 5x
(a). Is the point (-1,2) on the graph of f.
(b) If x= -2, what is f(x)? What the point is on the graph of f.
(c) If f(x)= -2, What is x? What point are on the graph of f.
(d) what is the domain of f.
(e) List the x intercepts in any of the graph of f.
(f) List the y intercept, if there is one, of the graph of f.
|
What would you say your personal brand attributes are
: What would you say your personal brand attributes are? What color or colors best communicate your band attributes? Why?
|
|
Problem regarding the vertical reactions
: The stacker crane supports a 1.5-Mg boat with the center of mass at G. Determine the internal normal force, shear force, and moment at point D in the girder.The trolley is free to roll along the girder rail and is located at the position shown. On..
|
|
What is channel power
: In your own words, explain what food distributors do. What is channel power, and how would Sysco's acquisition of US Foods impact the relative channel power within the foodservice industry
|
|
Define key items or variables you want to study
: Define a clear problem or opportunity that addresses what is important to the Cambridge Sciences Pharmaceuticals (CSP) organization. Define key items or variables you want to study that are relevant to the problem.
|
|
List the y intercept if there is one of the graph of f
: Find the function that is finally graphed after the following transformation are applied to the graph of Y= square root of X.
|
|
What risks does ms mckee face
: From the perspective of an overall strategy, explain what's different about Marigay McKee's strategy for Saks compared to its historical strategy. What risks does Ms.McKee face in implementing the changes that are described in the article
|
|
How many beavers were initially introduced
: Determine the change in the beaver population between t = 5 and t = 10.
|
|
What amount of interest wil she have earned on investment
: Suppose she had startd an IRA account 10 yrs earlier whe she was 25 years old. How much would additional inte33rret wold she have earned on this investment by age 65? (Hint: Her first payment into the account was on which birthday?)
|
|
Explain how physician liability concern relate to your topic
: How the regulatory environment in which providers operate at times can hinder the ability for a provider to do what is necessary for patients. Provide an example or scenario illustrating these limitations.
|