Section 1
What is the domain and range of the following:
{(5,3)(7,4)(4,7)(9,5)}
Domain (5, 7, 4, 9)
Range (3, 4, 7, 5)
f(x)= 3x + 5
17
Given f(x) = 3x - 5, describe the transformation to
g(x) = (3x - 5) + 8
shifted up 8 units
Is the following an arithmetic sequence:
3, 6, 9, 12...
yes
Given f(x) = 3x - 5, describe the transformation to
g(x) = 3(x - 3) - 5
right 3
Is the following a function? If so, is it one to one?
{(5,3)(7,4)(4,7)(9,5)}
Yes and Yes
f(x) = 3(x - 2) -1
2
Given f(x) = 3x - 5, describe the transformation to
g(x) = 3(x + 3) - 5
left 3
is the following an arithmetic sequence? if so, what is the common difference?
77,64,51,38,25
yes, -13
FREE POINTS
Yay!
Reasonable domain and range for the following situation:
Buying tickets for a concert at $25 a piece.
domain: Whole numbers
range: multiples of 25
FREE POINTS
Yay!
Given f(x) = 3x - 5, describe the transformation to
g(x) = 3(3x - 5)
vertical stretch by a factor of 3
write the recursive rule for the following:
62,57,52,47,42...
a1 = 62
an = an-1 - 5
Write a linear function for the data
x 0 1 2 3 4
y -1 4 9 14 19
f(x) = 5x - 1
If you graphed a linear equation, would it be a function? If so, would it be one to one?
Yes and yes
Sketch graph:
f(x) = x - 3
Teacher will check
y-int. should be at -3 slope should be 1
Given f(x) = 3x - 5, describe the transformation to
g(x) = 3(4x) - 5
Horizontal compression by a factor of 4
write the explicit rule for the following:
62,57,52,47,42...
an = 67 - 5n
or
an = 62 - 5(n - 1)
Write in recursive form
an = 35 + 52n
a1 = 87
an = an-1 + 52
Identify constraints on the domain:
Every day Isabel swims 10 to 20 laps in a 50-meter pool. She tracks the numbers of the laps she swims and how long it takes her to complete the lap, in minutes.
10 < x < 20
What is the slope of the line passing through points:
(0,4) and (2,-1)
-2.5 or -5/2
Given f(x) = 3x - 5, describe the transformation to
g(x) = 0.5(3x - 5)
vertical compression by a factor of 0.5
Write as an explicit formula:
a1 = -1
an = an-1 - 2
an = 1 - 2n
Given f(x) = 3x - 5, describe the transformation to
g(x) = 3(0.25x) - 5
Horizontal stretch by a factor of 0.25