Function Basics
What three ways can a function be represented?
Equations, Graphs, or Tables
What are the methods for solving system of equation problems.
Graphing, Substitution, and Elimination
Solve using the substitution method: 2x-3y = -1, x-y = 1
x=4, y=3 or (4,3)
Solve by elimination: 8x − 6y = −20, −16x + 7y = 30
(-1,2)
What are the different types of function transformations?
Ans: Translation (movement), Reflection (mirroring), Stretching, and Compression.
A function can only have ________ output, but there can be ______ inputs for that output.
One, Multiple
What is the best method to solve equations
There is no best method, just use the method best suited for that problem.
Solve using the substitution method: -2x-3y = -7, 6x-y = 11
x=2, y=1 or (2,1)
Solve using the elimination method: x-y = 11, 2x+y = 19
x=10, y=-1 or (10,-1)
Identify the visual effect in the case of graphically transforming f(x) to -f(x).
Ans: Reflection across the x axis
What type of function when graphed makes a straight line?
Linear Function
Solve: ⅔ +½ .
7/6
Solve using the substitution method: 2x+y = 11, 7x-4y = -14
x=2, y=7 or (2,7)
Solve using the elimination method: 4x+8y = 20, -4x+2y = -30
x=7, y=-1 or (7,-1)
Provide a function that translates the following function down three units: f(x) = -3x + 7
f(x) = -3x + 4
What test can you use to show that a graph does not represent a function?
Vertical Line Test
What are the parts of an equation?
Coefficients, Variables, and Constants
Solve by substitution: 6x + 8y = −22, y=-5
(3,-5)
Castel and Gabriella are selling pies for a school fundraiser. Customers can buy apple pies and lemon pies. Castel sold 6 apple pies and 4 lemon pies for a total of $80. Gabriella sold 6 apple pies and 5 lemon pies for a total of $94. What is the cost of one apple pie and one lemon pie?
apple pie = $4, lemon pie = $14
Provide a function that translates the following function up six units and right four units: f(x) = 7x² + 8
f(x) = 7(x - 4)² + 14
What type of function is written like this?
f(x) = ax^2 + bx + c
Quadratic Function
If there is no solution on a graph the lines are _______.
Parallel
Use substitution: 6x-6y=18, 3x+2y=44
x=10, y=7
(10,7)
The school that Lisa is going to is selling tickets to the annual talent show. On the first day of ticket sales the school sold 4 senior citizen tickets and 5 student tickets for a total of $102. The school took in $126 on the second day by selling 7 senior citizen tickets and 5 student tickets.What is the price of one senior citizen ticket and one student ticket?
senior citizen ticket = $8, student ticket = $14
Identify the visual effect in the case of graphically transforming f(x) = x² + 9 to f(x) = ½x² + 9
The graph stretches to twice its size