Vocabulary
the x values of a function
What is the domain or input
If y = -4x + 1 and x = 3, what is the value of the equation?
What is -11
The store gives each customer a free cup of coffee worth $2.50. Write a function/linear equation for this situation.
Is this proportional or non-proportional?
What is f(x) = 2.50x OR y = 2.5x.
What is proporitonal
Is this relation a function {(4, –2), (–1, 1), (2, –3), (3, 0)} and why?
What is it is a function because no x repeats.
the y values of a function
What is the range or output
F(7) if F(x) = -4x +9
What is -19
A company charges a membership fee of $100 plus a monthly fee of $25. Write a function to represent this relationship.
State the range.
What is F(x)= 25x + 100 or y = 25x + 100
Range : y > or equal to 100
Is this function linear or nonlinear? (0, 2), (2, 6), (4, 18), (6, 38)
What is nonlinear
Is this relation a function {(4, –2), (3, -2), (2, –2), (0, -2)} and why?
What is yes because every input is matched to only one output (-2).
relation in which every member of the domain is paired with one member of the range
What is a function
F(4) = 8 and f(x) = 5/4x + b, Find the value of b.
What is 3.
A manufacturer produces 950 light bulbs per day. Write an equation to find the number of bulbs b the manufacturer makes in any number of days d.
What is b = 950d
Is this function linear or nonlinear (1, 4), (2, 5), (4, 7), (10, 13)
What is linear
This function: y = -3x2 + 4 will create what type of graph (linear or nonlinear) and why?
What is a nonlinear because x is raised to a power.
when given a graph, you use this to determine if it is a function showing that x does not have more than one y value
What is vertical line test
Draw a function for the following:
Bob road his bike to meet his friend at the park. He stopped to check his phone. He then rode faster to the park because he was late. At the park he played basketball. He finally raced home before getting in trouble.
answers will vary
The water level for the public pool is 144 inches at the start of the summer season. Each day it loses 0.75 inches as a result of splashing and/or evaporation. Write an equation to represent this situation.
State the domain.
What is y = 144 - 0.75x or y = -0.75x + 144.
Domain x > or equal to 0
Every month, your investment triples in value. Is this function linear or nonlinear? Why?
What is nonlinear because triples is not constant.
A graph that looks like a C would be linear or nonlinear AND function, relation, or both?
What is a nonlinear relation?
functions whose rate of change (slopes) are not constant
What is a nonlinear function/equation
Complete a function table for y = -2x + 1 if your x values are -2, 0, 1, 2 and are you answers the domain or the range?
What is 5, 1, -1, -3 and it is the range.
A climber is on a hike. After 2 hours, he is at an altitude of 400 feet, and after 6 hours, he is at an altitude of 700 feet. Write an equation to represent this situation.
What is y = 75x + 150
There is a sale for $5 off every item in the store. What does the $5 represent and is it linear or nonlinear?
What is slope and linear because every means the slope is constant.
Determine if it is a function, relation, or both AND linear/nonlinear.
(2, 5), (6, 8), (-2, 2), (6, 8), (-14, -7)
1) What is a linear function and relation.