Absolute Value Graphs
How does the graph of g(x)=3∣x+2∣−10 relate to the graph of f(x)=∣x∣?
What is stretched by a factor of 3, moved to the left 2 and down 10?
What are the solutions to the equation?
∣x+4∣−8=12
The solutions to the equation are x=16, x= -24
What is the common difference of 47, 40, 33, 26 …?
The common difference is -7
Is the following correlation or causation: A person's shoe size and their favorite food.
What is Correlation
What is the line of symmetry of the following absolute value graph: g(x)=4∣x+1∣−8?
What is the line x=-1?
What are the solutions to the equation?
5∣x−2∣+3=18
The solutions are x=5, x=-1
What is the first term and the common difference of the arithmetic sequence defined by the explicit rule: f(n) = 50 + 3(n - 1)
The first term is 50, the difference is 3
Is the following an example of correlation or causation, Applying fertilizer to plants leading to their growth.
This is causation
What is the vertex of the graph of
g(x)=|x−4∣+12?
What would be (4,12)?
Solve the inequality: ∣2x+1∣<7
-4<x<3
Sarah is training for a marathon. On her first day, she runs 2 miles. Each day after, she increases her distance by 1 miles. What is the explicit rule for this?
The explicit rule is f(n)=2+1(n-1)
Is the following an example of correlation or causation: a persons pain level and injuries they have sustained.
This would be causation, generally, injuries have a direct impact on pain level.
What is the vertex of the following graph: g(x)=6∣x+5∣−3?
What is (-5,-3)?
What is the solution to the inequality: ∣2x−5∣>7
What is x>6 or x<-1?
The cost in dollars of art supplies purchased at a craft store is defined by the arithmetic sequence g(n)=10+8(n−1) where n represents the number of items purchased. What is the cost of 5th item?
The cost of the 5th item is 42 dollars
How can we tell if data has a strong and positive correlation?
What is the r value is positive and close to 1, the data looks close to a line and is moving upward.
What transformations occurred to g(x) from f(x), if g(x)= -2f(x-3)?
What is a reflection over the x-axis, stretched by a factor of 2 and moved to the right 3.
What is the solution to the inequality: 3|x+5|-2>13?
The solutions are x> 0 or x<-10?
What is the recursive rule for the sequence 47, 40, 33, 26 …?
What is f(1)= 47, f(n)=f(n-1)-7
Find the line of fit for the following
X,Y
1,2
2,3
3,5
4,7
5,8
What is y=1.6x+0.2