Solving Equations
(-3x)/4
x=12
The independent variable is labeled on which axis?
x axis
What is a function?
A relation where each x value has only one y value. Each input has only one output. The x values do not repeat and a graph will pass the vertical line test.
What is the definition of domain and range?
Range is the set of y values
Name the four function families
-3+m=-10
m=-7
Mrs Fuentes loves coffee. She has a budget of $30 to spend on coffee weekly. Each cup of coffee costs $5. Which depends on sentence is correct?
A- The number of cups of coffee she can get depends on how much money she has.
B- The amount of money she has left in her budget depends on how many cups of coffee she has already purchased.
B- The amount of money she has left in her budget depends on how many cups of coffee she has already purchased.
What if f(x)=3x+4. What is f(-4)?
f(-2) = -8
Mrs Fuentes loves coffee. She has a budget of $30 to spend on coffee weekly. Each cup of coffee costs $5. What is the domain of the scenario?
The domain is the possible number of cups of coffee she could purchase with her budget. The domain is: {0,1,2,3,4,5,6}
Which function families have maximums or minimums?
(7x)/2 - 5 = 9
x=4
A graph has the following labeled on the x axis and y axis. X axis- yards away from the goal. Y axis- height in feet of a soccer ball. What is the dependent quantity?
Dependent quantity is labeled on the y axis. It is height in feet of a soccer ball.
Is the mapping a function?
Yes, each x value has only one y value
Mrs Fuentes loves coffee. She has a budget of $30 to spend on coffee weekly. Each cup of coffee costs $5. What is the range of the scenario?
The range is the amount of money she has in her budget. The range is {0,5,10,15,20,25,30}
Which function families only increase or only decrease across the entire domain and range?
Linear and Exponential Function
-5x+13 = 3 - 7x
x=-5
There is a test coming up in Algebra I and you want to pass it. You know that the more time you spend studying, the better your grade will be. What is the independent quantity in this scenario?
Your grade depends on how long you study. The independent quantity is how long you study.
If the graph a function? Explain why or why not
No, the graph does not pass the Vertical Line Test
A tshirt company charges $10 per tshirt plus a $15 fee to set up the design. You want to order 8 tshirts for your school club. What is the domain and range of the scenario?
Domain is the number of tshirts
{0,1,2,...,7,8}
Range is the cost of the shirt order
{0,25,35,45,55,65,75,85,95}
Which function families have an axis of symmetry
8(-4+x) = 2(x+2) + 6
x=7
The upcoming algebra I test has 20 multiple choice questions and you want to score at least a 70 on the test to pass it. What is the depends on sentence of this scenario?
Your score of 70 or more depends on if you get 14 or more questions correct.
Your passing score depends on how many questions you get right.
Are the set of coordinate points a function? Explain your reasoning.
(3,2)(4,2)(5,-2)(6,-2)(3,-2)
No because the x value of 3 repeats. It has two different y values.
What is the domain of the following graph?
D: -3<x<=2 or (3,2]
What is the domain for all continuous linear functions?
(-infinity, +infinity)