Unit 1 - Sequences
2,-4,-10,-16...
Write the recursive equation for the following sequence
f(1) = 2
f(n)=f(n-1) - 6
Rewrite in radical form 34/7
7 square root 34
What is the minimum of a graph?
the lowest point on the graph
graph x < -3
open dot at -3, arrow heading towards -4
f(1) = 1, f(n) = f(n-1) x 3
Create the explicit equation to go with the following recursive one.
List 4 characteristics about Exponential Functions
- Geometric
- Multiply and Divide
- Curved line on a graph
- Exponent in the explicit equations
- Common Ratio
What is the x-int of a graph?
Where you cross the x-axis
x + 9 < 7
solve and graph
x < -2
open dot at -2, arrow towards -3
Mark just landed a great job as an engineer where he will make $65,000 a year. The company he will work for guarantees a 2% pay increase each year so employees’ salaries keep up with inflation. At the end of the year Mark will have made $65,000. Create an explicit function that represents Mark’s salary.
a(n) = 65,000(1.02)n-1
Simplify. 3root 8x15y6
2x5y2
What is the range of a graph?
The set of all y values
4(2x+3)+4
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8
Evaluate for x=3
5
Find the missing terms of the arithmetic sequence
x 1 2 3 4 5
f(x) 4 64
19,34,49
Create an explicit equation for the following table
x 49 42 35 28
f(x) 57 58 59 60
a(n) = 49 - 7 (n - 57)
A river in one part of the Rocky Mountains has a flow rate of 250 cubic meters of water per second. The flow of the water can be modeled mathematically with the function, 𝑤(𝑡) = 250𝑡 + 16, where 𝑤(𝑡) represents the volume of the water in cubic meters, at time 𝑡, in seconds.
Find w(23).
5,766 cubic meters
-5x - 12 > 48
x<-12
x 3 4 5
f(x) 6 4 2
Create the recursive equation for the following table.
f(3) = 6
f(n) = f(n-1) -2
Rewrite in radical form:
(21/2 x 35/2)1/3
6 root 21 x 35
Two siblings, Matthew and Katie, are working hard to save money to go on a summer trip with their family. Both started with some money, and they both have jobs where they are paid by the hour. The function that models Matthew’s projected savings for the trip is 𝑚(𝑡) = 12.50𝑡 + 350. The function that models Katie’s projected savings for the trip is 𝑘(𝑡) = 10𝑡 + 425
Find a new function rule, 𝑓(𝑡), that represents the amount of money Matthew and Katie raise together to contribute to the summer trip.
f(t) = 22.50t + 775
-5(x-2)>3x+8
x<1/4