Vocabulary
Linear Function
Domain and Ranges
Absolute Value Function
Transforming Linear Functions
100
Define a Linear Function
What is a function whose graph is a line
100
What is the value of f(0.25) from the function, f(x) = 10 - 100x?
f(0.25) = -15
100
Each day Jacob records the number of laps and the distance he walks, in miles, on a track. Describe the domain and range. {(3, 0.75), (6, 1.5), (5, 1.25), (2, 0.5), (7, 1.75), (8, 2), (4, 1)}
Domain: {x| 2 ≤ x ≤ 8}
Range: {y| 0.5 ≤ y ≤ 2}
100
Compare the graphs of f(x) = |x| and g(x) = |x + 5| + 1
The graph of g(x) is translated horizontally to the left by 5 units and 1 unit up vertically from f(x)
100
How does the graph of f(x) = -4x and the graph of g(x) = -4x - 3 compare?
The graph of g(x) is translated 3 units down
200
The domain of a function is ___ when it includes all the real numbers over an interval
What is Continuous
200
Write the linear function from the points (-1, 5) (0, 7.5) (1, 10) (2, 12.5) (3, 15).
f(x) = 2.5x + 7.5
200
Is this graph Continuous or Discrete?
Continuous
200
Write an Absolute Value Function from the graph.
f(x) = |x|
200
Does the graph f(x) to g(x) horizontally stretch or compress?
The graph of f(x) to g(x) horizontally compress.
300
The domain of a function is ___ if it does not include all the real numbers in an interval
What is Discrete
300
Find the value of f(-1.5) from the function, f(x) = -3(30 + 5x) - 2.5.
f(-1.5) = -70
300
Everyday Isabel swims 10 to 20 laps in a 50-meter pool. She tracks the number of laps she swims and how long it takes her to complete the lap, in minutes. Identify the domain.
Domain: {x| 10 ≤ x ≤ 20}
300
Find the absolute value function from the graph.
The absolute value function from the graph is f(x) = -2|x| + 3
300
Given f(x) = 4x + 1 and g(x) = (4x + 1) + 3, describe how the graph of g compares with the graph of f.
Vertical shift up 3 units
400
Define Function Notation
What is a method for writing variables as a function of other variables
400
Find the linear equation from the points (-5, -120) (-4, -90) (-3, -60) (-2, -30) (-1, 0).
f(x) = 30x + 30
400
Is this graph Continuous or Discrete?
Discrete
400
Find the absolute value function from the graph.
The absolute value function from the graph is f(x) = 3|x − 4| + 1
400
Compare the graphs of the functions f(x) = x - 2 and g(x) = 3.5x - 2
The graph of g(x) will horizontally compress 3.5 units.
500
A form of set notation that specifies a variable and conditions.
What is Set-Builder Notation
500
Tamika records the temperature of 0°F at 8:00 a.m. and 1°F at 10:00 a.m. Assume the temperature has been rising linearly since sunrise at 6:00 a.m. What will the temperature be at 12:00 a.m.?
The temperature will be 2°F at 12:00 a.m.
500
Kiyo invites 5 friends to a sporting event. Tickets cost $40 each. He knows at least 1 friend will choose to attend the event. Describing the constraints, what is a reasonable domain and range?
Domain: {x| 2 ≤ x ≤ 6| Integers} Range: {y| 80 ≤ y ≤ 240| Multiples of 40}
500
Jay rides in a boat from Monroe County to Collier County. The function d(t) = 30|t − 1.5| shows the distance of the boat in miles from the county line at t hours. What is the rate of change over the interval 0.5 ≤ t ≤ 1.5 and the interval 1.5 ≤ t ≤ 2.5?
The rate of change over the 0.5 ≤ t ≤ 1.5 is -30 and the interval 1.5 ≤ t ≤ 2.5 is 30.
500
The minimum wage for employees of a company is modeled by the function f(x) = 13x. The company decided to offer a signing bonus of $75. How does adding this amount affect a graph of an employee's earning?
The graph of the employee's earning translates up 75 units