Function? & Domain & Range
Linear Functions
Transformations
Scatter plot & Best Fit
Arithmetic Sequences
100
What is another word for "rate of change?"
Slope
100
(-6,-6),(8,-10)
What is the slope?
The slope is m=-2/7
100
The graph f(x)=10x+123 and g(x) is the graph shifted 96 units down. What is g(x)?
g(x)=10x+27
100
What does an r value of -0.38 mean?
The data has a weak, negative correlation.
100
What is the common difference and a1? 11, 16, 21, 26
d=5, a1=11
200
Does the table represent a function? Why?
Yes, because the rate of change (slope) is constant
200
Evaluate the function f(x)=2x+1 for x=5.
f(x)=y=11
200
How do the graphs of f(x)=3x+7 and g(x)=3(x-4)+7 compare?
The graph of g is the graph of f translated right 4 units.
200
How do you find residuals?
actual y value-predicted y value
200
When would you use the recursive formula rather than the explicit formula?
recursive formula is good when you have the previous term and explicit formula is good for finding any term.
300
Samuel walks for x hours a day. He calculates the distance he walks, y for each day.
What is a reasonable domain for the situation?
0 <= x <= 8 (other values for endpoint are acceptable as long as they are reasonable for a person to walk in a day)
300
Michael has $500 in his account. If her spends $5 per day on lunch, what is an equation to represent how much money(y) he will have in x days.
y = -5x + 500
300
For any linear function f(x)=mx+b, when does f(2x)=2f(x)?
When b=0
300
What does a graph with no association look like?
DRAW IT! Answers vary. Should have points randomly around with no direction or pattern.
300
What is the explicit formula (fully simplify) for the following sequence
-3, 2, 7, 12, ...
an = -3+(n-1)(5) OR
an=5n-8
400
(1,1), (2,2), (3,2), (5,4), (1,7)
Is this a function? Explain.
No because x=1 is mapped to two outputs, y=1 and y=7
400
Write the linear equation for this table.
x| 2 | 4 | 8 | 10
y| -3 | 0 | 6 | 9
y=3/2x-6
400
What transformation are happening from f(x) to g(x)?
f(x)=-x-3 and g(x)=-(1/2x)-3
Horizontal STRETCH by a scale factor of 1/2
400
What process should you follow in Desmos to find the best fit line?
Make a table by pressing the + sign in the top right, fill in data. Change x_1 to x. Click the button on the right side next to the table. It gives the linear regression best fit line.
400
What is the explicit formula (fully simplify) for the following sequence:
11, 16, 21, 26,....
an = 11+(n-1)(5) OR an=5n+6
500
Identify the x and y variable in the situation. Then, give a reasonable range for the situation.
Pedro is working at a pet store. He makes $15 an hour. He can work at most 20 hours a week.
x = time in hours
y = money earned ($)
0 <= y <= 15(20)=300
500
Find g(1/4) given g(x)=8x-3.
g(1/4)=-1
500
Write the function of a graph f(x)=2x-1 shifted left 6, and vertically stretched by a scale factor of 5.
g(x)=5(2(x+6)-1)
500
How do you decide if a trend line is a good fit for the data?
Data is closely aligned to line and residuals do not have a clear pattern (they are randomly distributed but clustered close to the x axis).
500
Julio has 5 snowglobes. He wants to start collecting them and buys 3 new ones each week. What is the recursive formula that represents this scenario?
a1=5
an=an-1+3