Graphing
This graph has a y-intercept of 5 and a slope of 2
(Draw graph)
2x+5
f(x) = 2x + 5
f(0) = ?
f(0) = 5
Create an equation that represents the table below
x|f(x)
1| 3
2| 9
3| 15
f(x) = 6x-3
Use the table to find the average rate of change of the function from x=5 to x=15
x | f(x)
5 | 10
10| 16
15| 22
6/5 or 1.2
Given the graph shown, what is the domain?
All Real Numbers
The graph shows a runners training route. They begin by running to the park from their house. Then the runner takes a break to recover for 20 minutes, and starts running to meet their friend. Finally, they run home. During which section of training did the runner run the fastest?
Running to meet their friend
f(x) = x/2 + 15
f(16) = ?
f(16) = 23
Which of these sequences could be described with a linear equation?
A) 2,4,8,16
B) 1,2,4,7,11
C) 4,8,12,16
D) 4,12,36,108
C) 4, 8 ,12, 16
f(x) = 4x
What is the average rate of change of the function: f(x) = x+100 between the points (2, 102) and (5, 105)
1
What is the range of a function that models a car with a 32 gallon gas tanks' amount of gas over time on a road trip
0<=y<=32
A graph that is represented by a straight line, changing by a constant amount.
Linear
f(x) = 5x+2
f(x) = 17
f(3) = 17
Create an equation to represent the following sequence.
3,9,27,81
f(n) = 3^n
What is the average rate of change of the function: f(x) = 3^x between the points where x=0 and x=3
26/3
What is the domain of the following sequence:
2, 4, 6, 8
The positive integers
John is a TikTok phenom and had a recent video go viral. John's video gained him 100 new followers in the first hour, then John's account was taken down for 3 hours. After his account was back, John's video had become old news and he lost 35 followers over the next two hours.
Create a graph that models John's new followers over time.
graph starting at 0 increasing 100 over 1 hour, then a constant interval from hour 1 to 4 then decreasing 35 over 2 hours.
The profit of a bake sale can be modeled by the function f(x) = 10(1.2)^x. Where x is the number of weeks open.
What does f(5) = 24.89 represent?
This is an exponential equation with a y-intercept of 20 and is tripling.
f(x) = 20 * 3^x
What is the average rate of change of the function: f(x) = 2^x -4 between the y-intercept and x-intercept
What is the domain and range from the graph of Graphing 200?
Range : 0<=y<=3
Domain 0<=x<=70