Sign Up Now
Get instant access to over 1 million+ study documents
OR
Already registered? click here to login
By creating your account, you agree to our terms of service, privacy policy and student honor code.
College Algebra
Graphing Transformations
a) Given the function f (x) = x^2 complete the following table. Must show all work for full credit.
f (x)
Show Work:
When x = 0, f (x) = f (0) = (0)^2 = 0.
When x = 1, f (x) = f (1) = (1)^2 = 1.
When x = 4, f (x) = f (4) = (4)^2 = 16.
When x = 9, f (x) = f (9) = (9)^2 = 81.
When x = 16, f (x) = f (16) = (16)^2 = 256.
b) Using the table from part a, graph the function f (x) = x^2 . For a tutorial on creating graphs in Excel and inserting graphs of functions please see the Assignment List.
c) Given the function f (x) = (x +1)^2 complete the following table. Must show all work for full credit.
f (x)
Show Work or Explain in Words:
When x = -1, f (x) = f (-1) = (-1 + 1)^2 = (0)^2 = 0.
When x = 0, f (x) = f (0) = (0 + 1)^2 = (1)^2 = 1.
When x = 3, f (x) = f (3) = (3 + 1)^2 = (4)^2 = 16.
When x = 8, f (x) = f (8) = (8 + 1)^2 = (9)^2 = 81.
When x = 15, f (x)...
For a tutorial on creating graphs in Excel and inserting graphs of functions please see the Assignment List.
Answer:
e) Given the graph of y=f (x) describe in words the transformation of y=f (x+1).
Answer:
The function f (x+1) is the transformation of f (x) where f (x) is moved one unit to the left.
2) Find the domain of the function and express the answer in interval notation. Explain in words or show the calculations for full credit.
a) f (x) = 3x - 1
Answer: The domain of the function f (x) = 3x -- 1 is all real numbers.
Show Work or Explain in Words:
The domain of the function is defined by the value of x where x is defined within the function. Because there is no x that makes the function undefined, the domain is all real numbers.
b) g (x)= (x+5)^2
Answer: The domain of the function g (x) = (x + 5)^2 is all real numbers.
Show Work…
College Algebra Individual Project Solve the following algebraically. Trial and error is not an appropriate method of solution. You must show all your work. Solve algebraically and check your potential solutions: x = -4 does not satisfy the equality. So the answer is only x = 5 Show the steps that you would take to solve the following algebraically: Show your work here: c) What potential solution did you obtain? Explain why this is not a solution. This
Solve the following quadratic equation by factoring: A) X2 + 6x -16 = 0 (x-2) (x+8)= 0 (x+2) (x-8) = 0 x=-2, x-8 b) solve the quadratic equation 6x2 +3x-18 = 0 using the quadratic formula x= - b +/- ?(b2- 4ac) +/- ?[32- (4*6*-18c)] x = 3/2; x= 2 c) Compute the discriminant of the quadratic equation 2x2-3x - 5 = 0 and then write a brief sentence describing the number and type of solutions for
Algebra Like many other languages and sciences, Algebra can be useful in the explanation of real-world experiences. Linear algebra, in particular, holds a high level of relevancy in the solution of real world problems like physics equations. Since the key point of physics is to explain the world in proven observations, linear algebra is an ideal mode for discussion. Many real-world situations can be explained by algebra; for example, how does
By observing x on the graph, then we make the connection that the slope of x on the graph represents rate of change of the linear function. Once we have done this, it is then possible to move to the development of a quadratic equation and see what the impact of the increase (or perhaps decrease) means to the data. Have we proven that the rate of change is linear?
Algebra, Trig Algebra-Trig Find the slope of the line that goes through the following points: (-4, 6), (-8, 6) Slope: m = (y2 -- y1) / (x2 -- x1) = (6 -- 6) / (-8 -- (-4)) = 0 / (-4) = 0 m = 0. Determine whether the given function is even, odd or neither: f (x) = 5x^2 + x^ To test a function for even, odd, or neither property, plug in -- x
Algebra All exponential functions have as domain the set of real numbers because the domain is the set of numbers that can enter the function and enable to produce a number as output. In exponential functions whatever real number can be operated. (-infinity, infinity) You have ln (x+4) so everything is shifted by 4. The domain of ln (x+4) is now -4 < x < infinity (Shifting infinity by a finite number