Equations
Functions
Linear Functions
Arithmetic Sequences
Surprise!
100
y + x = 3
Solve for y
y = -x + 3
100
What is Domain?
The set of all x-values in a function or relation.
100
What would the graph of y=-2x+3 look like?
100
What is the formula for arithmetic sequences?
f(n)=f(1)+d(n-1)
100
Give an example of a continuous graph
Infinite or finite continuous line
200
d = rt
Solve for r
r= d/t
200
Is a function showing the height of a football while it is thrown discrete or continuous?
It is continuous
200
What is the formula for the rate of change?
(y2-y1)/(x2-x1)
200
Find the common difference of the sequence and the next 3 terms.
6,12,18,24...
Common difference of 6
30,36,42
200
What is the y-intercept of this line?
Y=3x+24
(0,24)
300
T=P+prt
Solve for r
r=(T - P)/(pt)
300
Which function includes the data set below?
{(2,-2), (6,10), (13,31)}
A. f(x)=1/2x-3
B. f(x)=-2x+2
C. f(x)=3x-8
D. f(x)=4x-10
C. f(x)=3x-8
300
In the year 2000 Cedar Bay High School had 275 students in their choir, in 2006 their choir had 305 students. What is the annual rate of change in the number of students in the choir?
5 more students per year
300
Write the equation for this arithmetic sequence
-11,-15,-19,-23
f(n)=-11-4(n-1)
f(n)=-4n-7
300
What is the slope of this line?
6x=2y+4
m=3
400
A = (a+b+c)/(3)
Solve for c
c = 3A - a - b
400
The Hillsborough State Park in Thonotosassa, Florida, charges an admission fee of $4 plus a camping fee of $20 per night. This can be represented by the function f(x)=20x+4, where f(x) is the total cost and x is the number of nights spent camping. What is the value of f(5), which is the cost of 5 nights camping?
$104
400
Write an equation of a line in slope-intercept form for:
Slope: 8, y-intercept: -5
y=8x-5
400
Is this an arithmetic sequence?
7,10,13,17
No because the last interval has a difference of 4.
400
What is an exponential function?
A function with the variable as an exponent.
500
3/4x+6 = 3/8x
x=-16
500
A plant that Henry bought is 6 centimeters tall. He waters it regularly and finds that it grows on average about 2 centimeters every week for the first 5 weeks.
Is it discrete or continuous?
What is an equation that represents the height of this plant?
What is the domain?
Cont.
f(x)=2x+6
0<=x<=5
500
Write in slope intercept form
2/6x-4y=3
y=1/12x-3/4
y=2/24x-3/4
500
Create a formula to represent the following
A theater has 20 seats in the first row, 22 in the second row, 24 in the third row and so on.
f(n)=20+2(n-1)
f(n)=2n+18
500
What is the name of this type of graph and what would the shape of the graph be?
f(x)= lxl
Absolute value
V shape