MATH 1201 College Algebra

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Discussion Forum Unit 6
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    Discussion Forum Unit 6

  • First, create 3 equations of the form , where a, b, c, and d are constants (integers between – 5 and 5). For example, . Perform row operations on your system to obtain a row-echelon form and the solution. Go to the 3D calculator website GeoGebra: After you have completed this first task, choose one of the following to complete your discussion post. 1. Reflect on what the graphs are suggesting for one equation, two equations, and three equations, and describe your observations. Think abou...
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Written Assignment Unit 1
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    Written Assignment Unit 1

  • For this written assignment, answer the following questions showing all of your work. 1. Find the domain of the function using interval notation.
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Written Assignment  Unit 2
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    Written Assignment Unit 2

  • For this written assignment, answer the following questions showing all of your work. 1. Determine whether the lines given by the equations below are parallel, perpendicular, or neither. Also, find a rigorous algebraic solution for each problem. A. 3y+4x=12
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Written Assignment unit 4
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    Written Assignment unit 4

  • 1. What can be said about the domain of the function f ∘ g where f (y) = 4/y-2 and g (x) = 5/3x-1? Express it in terms of a union of intervals of real numbers. Go to
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Written Assignment Unit 5
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    Written Assignment Unit 5

  • 1. A retirement account is opened with an initial deposit of $8,500 and earns 8.12% interest compounded monthly. What will the account be worth in 20 years? What if the deposit was calculated using simple interest? Could you see the situation in a graph? From what point one is better than the other? 1. Graph the function f (x) = 5 (0.5)-x and its reflection about the line y=x on the same axis, and give the x-intercept of the reflection. Prove that ax =exlna. [Suggestion: type y = 5(0.5-x) {- ...
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Learning journal Unit 5
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    Learning journal Unit 5

  • Reflect on the concept of exponential and logarithm functions. What concepts (only the names) did you need to accommodate these new concepts in your mind? What are the simplest exponential and logarithmic functions with base b ≠ 1 you can imagine? In your day to day, is there any occurring fact that can be interpreted as exponential or logarithmic functions? What strategy are you using to get the graph of exponential or logarithmic functions?
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Discussion Frum Unit 5
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    Discussion Frum Unit 5

  • The population of a culture of bacteria is modeled by the logistic equation P (t) = 14250 1 + 29e-0.62t To the nearest tenth, how many days will it take the culture to reach 75% of its carrying capacity? D1A
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Learning Journal Unit 4
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    Learning Journal Unit 4

  • Reflect on the concept of composite and inverse functions. What concepts (only the names) did you need to accommodate these concepts in your mind? What are the simplest composite and inverse functions you can imagine? In your day to day, is there any occurring fact that can be interpreted as composite and inverse functions? What strategy are you using to get the graph of composite and inverse functions?
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Discussion Forum Unit 4
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    Discussion Forum Unit 4

  • What happens if we graph both f and f -1 on the same set of axes, using the x-axis for the input to both f and f -1 ? Type y = x3 {-2 < x < 2}, y = x 1/3 {–2 < x < 2}, and y = x {–2 < x < 2}, and describe the relationship between the three curves. Then post your own example discussing the difficulty of graph both f and f -1 on the same set of axes. Suppose f: R →R is a function from the set of real numbers to the same set with f(x) =x+1. We write f 2 to repre...
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Discussion Forum Unit 3
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    Discussion Forum Unit 3

  • Polynomial and rational functions can be used to model a wide variety of phenomena of science, technology, and everyday life. Choose one of these sectors and give an example of a polynomial or rational function modeling a situation in that sector. [Hint: see the examples and exercises in the book.] Go to
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