Vocabulary
The axis of a function that represents the independent variable
What is the x-axis
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.
What is y = 2.50x OR y = 2.5x
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 axis that represents the dependent variable of a function
Evaluate the function y = -4x +9 if x = 7.
What is -19
A company charges a membership fee of $100 plus a monthly fee of $25. Write a function to represent this relationship.
What is y = 25x + 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).
If given (4, -2), and (0, 3), what is the linear equation?
What is y = 5/4x + 3.
A manufacturer produces 950 light bulbs per day. Write an equation to find the number of bulbs y the manufacturer makes in any number of days x.
What is y = 950x
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 test to determine if it is a function showing that x does not have more than one y value
What is vertical line test
Write an example of a nonlinear function.
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.
What is y = 144 - 0.75x or y = -0.75x + 144.
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 the letter C (function or not?)
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
What is 5, 1, -1, -3
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 25% off every item in the store. Is this relation linear or nonlinear?
What is Linear
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.