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Social Science5. Consider the function f(x) = 2x-5x+12. Evaluate and SIMPLIFY each of the followingexpressions and state what transformations were applied.A9TCSaa.Evaluate and simplify: 0.5 f(x)-11=Sgrseli dedabnds108P NWhat does the 0.5 do to the graph of f(x)?2.eOWhat does the -11 do to the graph of f(x) ?b. Evaluate and simplify: f(x+ 2) =4$HIE(na21What does the 2 do to the graph of f(x)?
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5. Consider the function f(x) = 2x-5x+12. Evaluate and SIMPLIFY each of the following expressions and state what transformations were applied. A9TC Sa a. Evaluate and simplify: 0.5 f(x)-11= Sgrs eli de dabnds 108P N What does the 0.5 do to the graph of f(x)? 2.e O What does the -11 do to the graph of f(x) ? b. Evaluate and simplify: f(x+ 2) = 4$H IE (na 21 What does the 2 do to the graph of f(x)?
Expert Answer
Consider the below function
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5x +12 f(x)= 2x°
Part a.
In order to evaluate 0.5f(x) – 11, first multiply the function f(x) with 0.5 and then subtract 11 from it.
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2x25x + 12 f(x) multiply both side with 0.5 0.5- f(x) 0.5(2x -5x +12) 1 2x2-5x12 2 1 - 2x 2 1 5x 12 2 _ 2 5 0.5. f(x) x x+6 2 Subtracting 11 from both side 5 0.5. f(x)11 x--x+6-11 2 5 0.5. f(x)-11 x 2 5
Multiplying a value less then 1 to a function always compresses the function vertically and subtracting a value from the function always vertically translate it down.
Therefore,
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