Extra Credit Problem Set 2 1. Given (a)-2x+5, compute and simplify 60- 6e-5 -2 a

Question

Extra Credit Problem Set 2 1. Given (a)-2x+5, compute and simplify 60- 6e-5 -2 as a compos 3x 2 a composition of hwo finctions fand where f(x)* x and g(x)*x 3. Express Fs a piecewise fiunction without absolue value symbols. State the domain and range of this function For the function f(x)--6x-,-5sxso 4. a) Perform a ZPN analysis ,decr (b) Perform an IDE analysis Find an expression for the function, f, whose graph are the line segments joining (0, O), (I, 2), and (5, 0) then sketch a graph ofg(x)=f(x-1)+2. Find a function g so that g(x)) = h(x)where f(x)-3-2x and h(x) = 14x . nerare 5. 6. Givenf(x)=x24, compute g(x)-f(2-2x)and determine where the graphs off and g intersect. 7.

Explanation / Answer

f(x) = 2x2 + 5
We are to compute: a) [f(6c) - f(5)] / (6c-5) = [ 2(6c)2 +5 - (2 (5)2 +5) ] / (6c-5) ]
= 72c2 + 5 -50 -5 / 6c-5 = (72c2 - 50) / (6c-5) = 2(6c-5) (6c+5) / (6c-5) = 2(6c+5) = 12c + 10

b) f (t3) - f(2) / t3-2 = 2(t3)2 +5 - ( 2(2)2 +5) / (t3-2) = 2t6 -8 / t3-2 = 2 ( t6-4) / (t3-2)
= 2 (t3-2) (t3+2) / (t3-2) = 2t3 + 4

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