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MATHYy

Quiz yourself by thinking what should be in each of the black spaces below before clicking on it to display the answer.
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Question
Answer
Domain   x variables. D={x|x...,x E R}  
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Range   y variables. R={y|y...,y E R}  
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Restrictions are needed for   rational expressions  
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Restrictions can be taken from   2nd last step from the 2nd numerator and both denominators  
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Radicals   have root sign and a number underneath  
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Radicals, you can...   multiply numbers with the same radical  
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Radicals, you can...   square root multiples out of radicals  
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Fxn or not: x^2 + y^2 = 5   no, its circle formula, it fails vertical line test  
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Fxn or not: y = 5x - 7   yes, basic parabola, U shape  
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Fxn or not: -1/x + 2   yes, reciprocal fxn, 2 pairs of curved fxn <|>  
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Fxn or not: y=2/root -x + 1 unroot + 4   yes, square root fxn, half sideways parabola, /--  
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Fxn or not: y = sinX - 3   yes, wavy pattern  
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Fxn or not: y = coxX + 8   yes, wavy pattern  
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y = af[k(x-p)] + q, what does A<0 do?   reflection in the x-axis, because X is first  
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y = af[k(x-p)] + q, what does A do?   vertical stretch or compression by a factor of A  
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y = af[k(x-p)] + q, what does F do?   nothing, its just there  
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y = af[k(x-p)] + q, what does K<0 do?   reflection in the Y-axis, because Y is second  
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y = af[k(x-p)] + q, what does K do?*   horizontal stretch or compression by a factor of 1/K  
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y = af[k(x-p)] + q, what does X do?   nothing, its just there  
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y = af[k(x-p)] + q, what does P do?   translate left(+), translate right(-)  
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y = af[k(x-p)] + q, what does Q do?   translate up(+), translate down(-)  
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What is the discriminant?   b^2 - 4ac  
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b^2 - 4ac > 0   2 real roots because it passes x-axis completely  
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b^2 - 4ac < 0   2 different complex roots OR no x-int  
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b^2 - 4ac = 0   only 1 real same root, 2 equal real roots  
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Inverse is what?   y = x, switch the X and Y coordinates  
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What is a Family in quadratics?   y = a(x+_)(x,has the A variable  
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Created by: bioger
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