Quad 1(q1-5)
Quad 2 (q6-10)
Quad wild cards
Comparing functions 1
Comparing functions 2
Data
Data 2
100
Determine the X intercepts for the equation
y=(x-5)(x-6)
Set each factor =0 and solve so roots are
100
y=x2+3x-28 has the factor (x+7)
a) find the other factor b) what are both roots?
The other factor is (x-4) and the roots are
x=-7 and x=4
100
Ax2+Bx+C
a) what is the starting amount (y int) and when does it exist?
C is the Y intercept and is the starting height or starting amount of something.
100
given these two function F(x)=3x2 vs G(x)=2*3x Compare the following f(4) vs. g(4)
F(4)= 3(42) which is 48 vs. G(4)= 2*81 =162
100
what type of function is this and explain how you know?
Quadratic because constant 2nd difference is -2
100
compare the median and IQR for both?
The central weight: median is lower for electric than gasoline blowers at 6.75 lbs vs. 10.5 lbs.
IQR electric 1.5 and gasoline is 2.75
100
2 cars were jumped off ramps and their distances were observed.
Compare the center (median) spread(range)?
Center: (Median): Car A= 180 and Car B= 185
Spread: (Range Max-Min)
Car A=195-165=30 Car B= 205-160= 45
So Car B has a higher center value and a higher spread of distance.
200
Determine the roots for the equation y=(x+4)(x+2)
set factors=0 and solve x=-4 and x=-2
200
Rewrite the quadratic function in standard form
y=-2(x+4)(x-3)
-2x2-2x+24
200
What determines if a quadratic opens up or down
Ax2+bx+C
When A is + opens upward
When A is - opens downward.
200
Given f(x)= 6x2 and g(x)=4*(2)x
Compare f(2) and g(2)
f(2)=4*6=24 and
g(2)= 4*4= 16
200
Mark wants to deposit $42 in his savings every month what type of function does this represent
linear because constant first difference is 42
200
Which is the best measure of center?
Median (middle) or Mean(average)
156 is an outlier and it would affect the mean so therefore the median is the best measure of center to use so data is not skewed.
200
What was the most frequently occurring value?
1
300
what is the vertex and AOS (axis of symmetry)?
vertex is (3,4) and AOS x=3
300
Rewrite in standard form y=-4(x-3)(x-2)
=-4x2+20x-24
300
What does the x intercept of a quadratic function represent in the real world context?
when something hits the ground.
300
Find the AROC on the interval between x=-1 and 2 for the function x2-6x+24
(-1,31) (2,16)now we use slope: (16-31)/(2+1)=-5
300
Leah purchased an antique for $300 and it is appreciating at a rate of 15% find its value at year 5
$603.40
300
What is the mean and median?
Mean is 3.41 and median is 3
300
1) How many boys participated in the survey ?
52 boys were surveyed
400
Determine if the quadratic has a max or min and what is the value? y=-3(x+4)2-5
Max at -5
400
Solve the equation for all x values when
y=x2-6x+12=2x
y=x2-6x-2x+12=0 becomes
y=x2-8x+12=0 then after you factor (x-6)(x-2)=0
Roots x=6 and x=2
400
If we start with the function y=x2 then end up with y=(x-3)2+4 what does this do to the graph
How does it move left or right and how does it move up or down?
Moves 3 right and 4 up.
400
Find the AROC on the interval between -1 and 2 when given the graph
(-1, 0) (2,9) then find slope: (9-0)/(2+1)= 9/3=
So final answer slope is=3
400
Given f(x)=3x+5 find f(6)
f(6)=18+5= 23
400
How many students are at-least 56 inches tall?
12+7+1=20 students
400
What % of boys preferred chickfila?
35/52 = 67%
500
y= x2-9x+20 has the factor (x-5) find the other factor
(x-4)
500
solve the equation for x2-7x-18=-4x
becomes y=x2-3x-18=0 then factor
becomes (x-6)(x+3) so roots x=6 and x=-3
500
If we start with y=x2 then end up with y=(x+5)2-7
means we shift left 5 units and down 7 units.
500
Find the AROC between -1 and 2 when given the following table:
(-1,-1) and (2,-4)
becomes (-4+1)/(2+1) = -3/3 so slope=-1
500
f(x)=5x-5 find f(x)=60
x=13
500
Find the measure of variability (IQR and Range)?
IQR is 64-60= IQR=4
Range= 66-58 Range= 8
500
What percentage of people did not watch the superbowl?
18/40 = 45%