College Algebra Essay

Excerpt from Essay:

University Algebra

Graphing Transformations

a) Given the function farrenheit (x) sama dengan x^2 complete the following desk. Must demonstrate all be employed by full credit.

f (x)

Show Operate:

When times = zero, f (x) = farreneheit (0) sama dengan (0)^2 = 0.

The moment x = 1, farrenheit (x) sama dengan f (1) = (1)^2 = 1 .

When back button = 4, f (x) = farrenheit (4) = (4)^2 = 16.

When x sama dengan 9, f (x) = f (9) = (9)^2 = seventy eight.

When back button = of sixteen, f (x) = f (16) sama dengan (16)^2 sama dengan 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 features please begin to see the Assignment List.

c) Offered the function f (x) = (x +1)^2 total the following stand. Must show all be employed by full credit.

f (x)

Show Operate or Make clear in Terms:

When by = -1, f (x) = n (-1) sama dengan (-1 & 1)^2 = (0)^2 = 0.

The moment x = 0, farreneheit (x) = f (0) = (0 + 1)^2 = (1)^2 = 1 .

When by = a few, f (x) = farrenheit (3) sama dengan (3 & 1)^2 = (4)^2 sama dengan 16.

When x sama dengan 8, f (x) = f (8) = (8 + 1)^2 = (9)^2 = 81.

When times = 15, f (x) = farreneheit (15) sama dengan (15 & 1)^2 sama dengan (16)^2 = 256.

d) Using the table from part c, graph the function f (x) = (x +1)^2. For any tutorial about creating graphs in Surpass and applying graphs of functions please see the Project List.

Solution:

e) Given the chart of y=f (x) describe in phrases the transformation of y=f (x+1).

Answer:

The function f (x+1) is the alteration of farrenheit (x) in which f (x) is shifted one product to the left.

2) Find the domain of the function and express the answer in interval notation. Make clear in phrases or demonstrate calculations intended for full credit rating.

a) f (x) = 3x – 1

Response: The domain of the function f (x) = 3x – you is all actual numbers.

Show Work or Explain in Words:

The domain from the function is usually defined by value of x in which x is usually defined inside the function. As there is no times that makes

Research from Dissertation:

College or university Algebra

Individual Project

Fix the following algebraically. Trial and error is not an suitable method of option. You must present all your job.

Solve algebraically and look at your potential solutions:

x = -4 will not satisfy the equal rights. So the solution is only times = a few

Show the actions that you might take to solve the following algebraically:

Show your function here:

c) What potential solution did you obtain? Make clear why this may not be a solution.

This may not be a solution as it makes the first equation indefinite. It the actual denominator absolutely no.

The following function computes the cost, C (in millions of dollars), of putting into action a city taking project when ever x percent of the individuals participate.

a)

Using this model, find the cost if 60% of the people participate?

Answer:

million us dollars

b)

Applying this model, determine the percentage of participation that could be expected in the event $4 , 000, 000 is used on this recycling where possible project. Build an formula and resolve algebraically. Rounded to the nearest whole percent.

Answer: 74%

4)

a)

If

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