Algebra 1
Analyzing Graphs of Linear Functions
Name________________________________
Key Features of a Linear Function
Label each linear function graphed below with its key features: x-intercept, zero, y-intercept & slope.
Linear Functions: Key Features in Real-World Contexts
Describe what each key feature below represents in the context of any real-world situation.
Then find each one specifically for the given example.
Slope
Example:
x-intercept/zero
y-intercept
Domain & Range
© 2019 Secondary Math Solutions
Analyzing Graphs of Linear Functions
Name________________________________
Analyze each graph and then answer the questions.
① The graph shows the change in the balance of a savings account after x deposits.
a) Is the value of the savings account increasing or decreasing?
b) How much was in the savings account to begin with?
Is this value the x-intercept, y-intercept, or slope of the graph?
c) How much was in the account after 3 deposits?
d) What is the rate of change of the balance of the account
in dollars with respect to the number of deposits?
② The graph shows the distance from a Recreation Center and the time, x, that Josie spent biking.
a) As Josie bikes, does the distance from the Recreation Center increase or decrease?
b) How long does it take her to get back to the Recreation Center?
Is this value the x-intercept, y-intercept, zero or slope of the graph?
c) How far away from the Rec Center was Josie at the beginning of her ride?
Is this value the x-intercept, y-intercept, zero or slope of the graph?
d) What is the rate of change of the distance from the
Recreation Center with respect to the time spent biking
in minutes?
Is this value the x-intercept, y-intercept, zero or
slope of the graph?
e) State a reasonable domain and range for this situation.
© 2019 Secondary Math Solutions
© 2019 Secondary Math Solutions
Algebra 1
Analyzing Graphs of Linear Functions
Name______________Key_______________
Key Features of a Linear Function
Label each linear function graphed below with its key features: x-intercept, zero, y-intercept & slope.
X-INTERCEPT or ZERO
– where the graph
crosses the x-axis
Y-INTERCEPT– where
the graph crosses the
y-axis
Linear Functions: Key Features in Real-World Contexts
Describe what each key feature below represents in the context of any real-world situation.
Then find each one specifically for the given example.
Slope
Example:
x-intercept/zero
Rate of Change
some graphs, especially
increasing graphs, might not
have an x-intercept;
interpret the graph where it
crosses the x-axis
-10 gallons/hour
After 20 hours of driving, the
truck will be out of gas
y-intercept
starting value
Domain & Range
(Reasonable)
What values make sense in
the context of the situation?
The truck begins with 200
gallons of fuel
Domain: 0 < x < 20
Range: 0 < y < 200
© 2019 Secondary Math Solutions
Analyzing Graphs of Linear Functions
Name_____________Key________________
Analyze each graph and then answer the questions.
① The graph shows the change in the balance of a savings account after x deposits.
a) Is the value of the savings account increasing or decreasing?
increasing
b) How much was in the savings account to begin with?
$50
Is this value the x-intercept, y-intercept, or slope of the graph?
y-intercept
c) How much was in the account after 3 deposits? $350
d) What is the rate of change of the balance of the account
in dollars with respect to the number of deposits?
$100/deposit
② The graph shows the distance from a Recreation Center and the time, x, that Josie spent biking.
a) As Josie bikes, does the distance from the Recreation Center increase or decrease?
decreases
b) How long does it take her to get back to the Recreation Center? 28 minutes
Is this value the x-intercept, y-intercept, zero or slope of the graph? x-intercept/zero
c) How far away from the Rec Center was Josie at the beginning of her ride? 9 miles
Is this value the x-intercept, y-intercept, zero or slope of the graph? y-intercept
d) What is the rate of change of the distance from the
Recreation Center with respect to the time spent biking
in minutes? 9/28ths of a mile/minute
Is this value the x-intercept, y-intercept, zero or
slope of the graph? slope
e) State a reasonable domain and range for this situation.
Domain: 0 < x < 28
Range: 0 < y < 9
© 2019 Secondary Math Solutions