Linear Functions
Finding Slope
Input/Output
Is it a Function?
Scatterplot
100
The equation of the line with a slope of
-1/3
and a y-intercept of 5.
y=-1/3 x+5
100
What is the slope of the line below?
m=2/3
100
For the function below, evaluate
f(3)
f(x)=5x-2
f(3)=13
100
Is the table below a function?
Yes, it is a function.
100
What is the association of the scatterplot?
Strong Positive
200
The equation for this line:
y=1/2 x+2
200
What is the slope of the graph?
m=-3/4
200
For the function below, evaluate
g(-1)
g(x)=(12x)/3
g(-1)=-4
200
Is the table below a function?
No, it is not a function.
200
What is the association for the scatterplot?
Weak Positive
300
The equation for this line:
y=3x-1
300
What is the slope of the line?
m=3/2
300
For the function below, evaluate
h(3)
h(x)=2x^2+5
h(3)=23
300
What is the vocabulary term for the following definition:
"the set of all input (x) values for a relation or function"
Domain
300
What is the association for the scatterplot?
Strong Negative
400
Mitchel has a goat farm. His baby goats (kids) grow by the equation below, where x = months since birth and y = weight in pounds (lbs).
y=5/3x+3
What is the meaning of the slope in the context of this problem?
The baby goats grow 5 pounds every 3 months (or 1.66 pounds per month).
400
What is the slope of the line?
m=-5/3
400
For the function below, solve
f(x)=-7
f(x)=5x-2
f(-1)=-7
400
What is the vocabulary term for the following definition:
"the set of all output (y) values for a relation or function"
Range
400
What is the association of the scatterplot?
Weak Negative
500
Connie is saving for a new car. Her savings account follows the equation below, where x = weeks since opening the account and y = dollars ($) in the account.
y=25x+130
What does the y-intercept mean in the context of the problem?
Connie deposited $130 in the account to open the account.
500
What is the slope between the points:
(-1 , 8) and (4 , 23)
m = 3
500
For the function below, solve
g(x)=8
g(x)=(12x)/3
g(2)=8
500
What is the definition of a function?
Every input (x) (domain value) goes to one and only one output (y) (range value).
500
An ice cream shop has tracked the number of customers they get each day (y) in comparison to the temperature that day (x).
What is the association of this data?
Strong Positive