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WorksheetsReview Chapter 1 - Intro to the Quadratic Function
Total questions: 13
Worksheet time: 3hrs 15mins
i) State the domain and the range
ii) State whether or not it is a function
D = {4, 5, 6}, R = {1, 2, 3}
Function, since there is only one y-value for each x-value
D = {1, 2, 3}, R = {4, 5, 6}
Not a function, since there are two values of y for one value of x
D = {4, 5, 6}, R = {1, 2, 3}
Not a function, since there are two values of y for one value of x
D = {1, 2, 3}, R = {4, 5, 6}
Function, since there is only one y-value for each x-value
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Are c) and d) functions? (Hint: vertical line test)
c) function d) function
c) not a function d) not a function
c) not a function d) function
c) function d) not a function
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Is the resting pulse rate a function of the type of mammal?
No, because each mammal has multiple resting pulse rates
Yes, because each mammal has only one resting pulse rate
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f(x) = x + 60
f(x) = 60x
f(x) = -60x
f(x) = 60 - x
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Q4 cont.
Answer: f(x) = 60x
State the degree of this function and whether it is linear or quadratic.
Degree = 2, function is linear
Degree = 2, function is quadratic
Degree = 1, function is linear
Degree = 1, function is quadratic
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State the degree of the function above and whether it is linear or quadratic.
Degree = 2, linear
Degree = 2, quadratic
Degree = 1, quadratic
Degree = 1, linear
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a) 2 b) 8) c) 40 d) -6
a) 2 b) 12 c) 41 d) -7
a) 1 b) 12 c) 40 d) -6
a) 1 b) 8 c) 41 d) -7
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Consider a parabola P that is congruent to y = x2 and with vertex at (0,0). Find the equation of a new parabola that results if P is:
y=−31x2+2
y = −31x2−2
y=3x2+2
y= −3(x+2)2
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Consider a parabola P that is congruent to y = x2 and with vertex at (2,-4). Find the equation of a new parabola that results if P is:
y = (x+1)2−5
y=(x−1)2+2
y=(x−2)2−4
y=(x−5)2−5
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Describe the transformations applied to the graph of y = x2 to obtain a graph of the quadratic relation above..
vertical reflection in the x-axis, vertical stretch by a factor of 2, shift 1 unit to the left, shift 5 units down
vertical reflection in x-axis, vertical compression by a factor of 2, shift 1 unit to the right, shift 5 units down
vertical stretch by a factor of 2, shift 1 unit to the right, shift 5 units up
vertical compression by a factor of 2, shift 1 unit to the left, shift 5 units down
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Describe the transformations applied to the graph of y = x2 to obtain a graph of the quadratic relation.
vertical stretch by a factor of 2, horizontal translation 1 unit to the left, vertical translation 4 units down
vertical compression by a factor of 1/2, horizontal translation 1 unit to the left, vertical translation 4 units up
vertical stretch by a factor of 2, horizontal translation 1 unit to the right vertical translation 4 units up
vertical stretch by a factor of 2, horizontal translation 1 unit to the left, vertical translation 4 units up
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Find the domain and range of the function
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The height of a flare is a function of the elapsed time since it was fired. An expression for its height is
f(t)=−5t2+100tExpress the domain and range of this function in set notation.
(Hint: can you factor the equation first to help you draw a rough sketch)
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