I Regret Not Picking Regressions Sooner
What should I type into Desmos to find a linear regression?
y1 ~ mx1 + b
What is the equation for a transformed absolute value function?
f(x) = a[x - h] + k
Consider the relation below:
(4, 5) (-2, 3) (0, -2) (1, 2) (-6, 1) ( 2, 2) (7, 8) (-3, 6) (-4, 6) (9,-2)
Is the relation a function? Explain your reasoning
Yes. The relation is a function because every x or input has exactly one y or output.
What is the domain for this piecewise function?
-4 < x < 3
What is the solution to this system of equations?
- 3x - 14y = - 95
- 18x - 42y = - 24
( -3 , 1)
What should I type into Desmos to find an exponential regression?
y1 ~ abx1
Write an equation to represent the transformed absolute value function:
f(x) = -[x - 1] + 3
The mouse population is 25,000 and is decreasing in size at a rate of 20% per year. Would this situation be modeled by a linear or exponential function and why?
A) Linear; 20% decreases at a constant rate
B) Linear; 0.2 decreases at a constant rate
C) Exponential; 0.20 growth factor
D) Exponential; 0.20 growth rate
D
What is the range for this piecewise function?
-3 < y < 2
You are purchasing jeans and T-shirts. Jeans cost $35 and T-shirts $15. You plan on spending at most $115 dollars and purchasing no more than 5 items.
Write a system of equations that could be used to solve the problem.
35x + 15y < 115
x + y < 5
The relationship between the number of hours of sleep a student gets has a strong positive correlation with their performance on Benchmarks. Can we imply that more sleep causes better test performance?
No!!! Correlation does not imply causation
Describe the transformation for the following function from its parent function:
f(x) = -[x - 7] + 1
right 7 units
up 1 units
reflected upside down
A car is traveling down a long, steep hill. The elevation, E, above sea level (in feet) of the car when it is d miles from the top of the hill is given by E = 7500 – 250d.
What is the y-intercept and what does it mean in the context of this problem?
What is y-intercept: (0, 7500). The cars starting elevation is 7500 feet above sea level.
Melina receives a chain e-mail that she forwards to 7 of her friends. Each of her friends forwards it to 7 of their friends. The process continues.
What is the domain of the function in relation to the context of the problem? Explain your answer.
All real positive INTEGERS because you cannot have part of a friend.
Solve the following equation for x:
2 - [x + 5] = 11
No Solution
Write the equation that best models the table below (round to two decimal places) ...
y = -1.85(0.59x)
Write an equation to represent the transformed absolute value function:
f(x) = 2[x - 3] - 2
Suppose a male and a female of a certain species of animal were taken to a deserted island. The population is modeled by f(n) = 2(4)n.
What does the 2 represent in the model in terms of the context of the problem?
What does the 4 represent in the model in term of the context of the problem?
2: The initial value
4: The growth factor. 4 times bigger, or a 300% increase
The function f(x) = [x] is transformed so that a < 0. Describe the range for this function.
Solve the following equation for x:
2 - 3[x - 4] = -28
x = -6 and x = 14
Write the equation that best models the table below (round to two decimal places) ...
y = -0.93x + 10.73
A function can be represented by the equation f(x) = 3[x - 1] + 6 and is shifted so that the new equation is f(x) = 3[x + 4] + 6. Describe the transformation.
5 units to the left
In a basketball tournament 64 teams compete in Round 1. Half of those teams proceed to Round 2. The number of teams at the beginning of each round can be represented by the sequence 64, 32, 16, 8, . . .
Write the explicit formula that can be represented by this sequence?
an = 128(0.5n)
What is Ms. Uppal's birthday?
July 25th
Solve this equation for x:
2 - 9(x - 4) = -43
x = 9