Domain and Range
The domain of a function is the set of these values.
x values / inputs
True or False: A linear function has a constant rate of change.
True
What shape does the graph of a linear function make?
A straight line
Write an equation for roses costing $20 per bundle of roses.
y = 20x
Find f(4) if f(x) = 5x - 3
f(x) = 17
The range of a function represents these values.
y - values / outputs
What must be true for a relation to be a function?
Each input has exactly one output.
Is y = 3x + 5 linear or nonlinear?
Linear
Write an equation for quarters (q) in dollars (d).
q = 4(d)
Find f(6) if f(x) = 2x + 9
f(x) = 21
If the domain is {1,3,5} and y=2x, what is the range?
{2,6,10}
Does this represent a function? (1,2), (2,4), (1,5)
Is y = x² − 4 linear or nonlinear?
Nonlinear
Bowling costs $6 entry plus $4 per game. Write the equation.
y = 4x + 6
Find f(-3) if f(x) = -4x + 1
f(x) = 13
Domain: {1,3,5,7,9} and y=4x+6. What is the range?
{10,18,26,34,42}
Explain the difference between discrete and continuous data.
Continuous can be any value, ranging from infinity to negative infinity. However, Discrete cannot be any value and is more than likey whole numbers. For example, the number of students in a classroom is discrete because you cannot have half of a student.
What is the main difference between linear and nonlinear functions?
Linear has a constant rate of change and creates a straight line on a graph. However, non-linear does not have a constant rate of change and is not a straight line on a graph.
Using y=4x+6, what is the cost for 5 games?
$26
Find f(8) if f(x) = .5x - 5
f(x) = -1
Would the number of students in a class be discrete or continuous data?
Discrete
Give a real-world example of a function.
Up to Mrs.Davis if it is a function or not. (So good luck :0 )
Which is linear? A) y=x² B) y=4x−3 C) y=√x
B) y = 4x - 3
Taxi cost: $3 to get in and then an additional $2 per mile. Write equation.
y = 2x + 3
Find f(4) if f(x) = 3(2x - 5) + 4x
f(x) = 25