written assignment 1.docx - 1.To find the domain of f(x)= √ x−6 √ x−4 Here in order this equation to be defined first the radicands should be

written assignment 1.docx - 1.To find the domain of f(x)=...

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1.To find the domain of f(x)= x 6 / x 4 Here in order this equation to be defined, first the radicands should be greater or equal to zero. Furthermore, the denominator should not be zero Abramson, J. (2017). x 6 0 x 4 > 0 x≥ 6 x > 4 When we put these x values in the number line, the second one could not satisfy the first equation, however, the first one could satisfy both equations. Therefore, our domain will be [6, ∞). 2. to graph the piecewise function, I have chosen the function: 1/(x 2 -x-6), in order the function to be defined, the denominator should not be equal to zero. x 2 -x-6 0 factoring this (x-3) (x+2) 0 Which is x 3 x≠ 2 Hence, the domain of this function will be, (- ∞ , -2) (− 2,3 ) ( 3 ,∞ ) The graph looks like
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Graph credit to Desmos graphing calculator. 3. c(x) = 10x+500 a, find c (0) which is b, find c (25) which is C (0) =10(0) +500
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Unformatted text preview: c (25) = 10(25) +500 C (0) = 0+500 c (25) =250+500 C (0) = 500 c (25) =750 c, find domain and range for the maximum cost of 1500, ∴ if maximum cost is 1500, C(x) ≤ 1500 , where c(x)= 10x+500 from the question Then 10x+500 ≤ 1500 10x ≤ 1500 − 500 10x ≤ 1000 dividing both sides by 10 x ≤ 100 Therefore, our domain would be from the maximum cost to the fixed cost where zero items are produced. This will be {X|0 ≤x ≤ 100 } The same thing our range will be from the fixed cost with no item and the maximum cost written as {x| 500 ≤x ≤ 1500 } Reference Abramson, J. (2017). Algebra and trigonometry . OpenStax, TX: Rice University. Retrieved from Desmos graphs (n.d.). Retrieved from, ...
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