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Which of the following relations are functions? i. (1,3), (2, -4). (3, 0.5), (2, 1) ii. 5x + y + 2 =0 ili. O i,ii
Which of the following relations are functions? i. (1,3), (2, -4). (3, 0.5), (2, 1) ii. 5x + y + 2 =0 ili. O i,ii O iii only O i, iii O ii onlyGiven the graph of f(), when does f(x) = 1? O f(x) = 1 when = = -1 Of() = 1 when = = -1.5 O f(z) = 1 when z = 0 O f(x) = 1 when y= -1What is the domain and range of the following relation? {3: Domain: {1 1- e. a} and Range: {we R} O Domain: {a 1- e. a} and Range: {3- 5r 3 1} {3. Domain: {112'} 2} and Range: {gm-:3} O Domain: {2 :L-e R} and Range: {are 1} What is the equation of the line that passes through (-2, -3) and is parallel to the line y = 2x + 5 ? O y= 2-7 O y= 2+4 O y= - 1+5 Oy= 2 +1 What is the domain of the function y =- x3 + 2x - 3 O Domain: {x z # -1,3; re R} O Domain: (xx * -3, 1; ce R} O Domain: (or # 0, 2; r E R } O Domain: {xx ( R}Which of the following represents a function that has an asymptote ate= -2, zeros of -$ and -1, and approaches a y-value of 3 as = approaches both positive and negative infinity. O OWhich of the following functions has the largest maximum value? i. v= -3x' + 2: + 5 ii. y= -4(x - 1)3 + 3 40 Oi O ii only O iii only O i, iiiFor the function f(x) = 3x + 4 , list any invariant point(s) (i.e. points that don't change) on the transformation y = -f(z). O There are no invariant points. O Invariant points at (-1,0) and (0,4) O Invariant point at (-1,0) O Invariant point at (-4,0) What effect would the transformation y = -27(32) have on the graph of y = f(x)? O a reflection about the x-axis, a horizontal compression by a factor of 1, and a vertical expansion by a factor of 2 O horizontal expansion by a factor of 3, then a vertical expansion by a factor of 2 O a reflection about the y-axis, a horizontal compression by a factor of }, and a vertical expansion by a factor of 2 O horizontal compression by a factor of ), then a vertical compression by a factor of ;A partial graph of fine] is shown below. What is the largest zero at Pix] = r{mr'? Q [21m {3' rant 3: rant 0 ranr The function f() is graphed below with a transformed function s() beside it. Which transformation best describes g(r) as it relates to f(x)? 10 5 -5 f(x) -5 5 -5 5 10 -5 -5 g(z) = -2f(3x) O g(x) = f(x + 2) -3 O g(z) = f(z + 3) - 2 O g(x) = f(x - 2) +3 What is the range of the function y = |x - 13 + 2? O Range: (uly 2 2: ve R} O Range: (uly $ 2; ve R} O Range: (vy 2 1; ve R} O Range: (uly 2 0; ve R}If the graph oft, :r 2 were expanded vertically by a factor of 3 and reected in the xaxis: what would its new equation be? C) y in: 6 O y 31 | 6 CD19 Sml 015' 3:12 The original graph of fir] = a? is transformed into girl as shown below. Write the equation of air]. 0 HM}: V' E35 ' 2] 0 yrs] u' is 21 0 girl W 0 yrs] vi a 21 The function f() contains the point p(2,3). If P is transformed by the function g() =2/() +1, what is the image (new position) of P? O (1,3) O (-1, 7) O ( -4, 7) O ( 4, 7) Given f(x) = 2: +3 and g(x) = (x + 1, what is (f -9)(2)? O 7 O 6 0 4 O 10 If f(x) = v2x -3 and g(x) = x- 2, what is the domain of g(f(z))? O Domain: (x x E R} O Domain {> > > ;; PER} O Domain: (x x 2 -2; c ( R} O Domain {z z
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