Functions (Concepts)
Which two variables do we generally use to represent inputs and outputs? (Be specific for both)
X - Input
Y - Output
What do you call a function that makes a straight line?
A Linear function
If a point is considered a y-intercept, then what value must its x be?
0
In order to use any of the exponents properties (Product of Powers Rule or the Quotient of Powers Rule), What must be true about the two exponents?
They must have the same base
What does PEMDAS stand for?
Parentheses, Exponents, Multiplication/Division, Addition/Subtraction
What makes a function different from an equation?
Why do we use functions in math?
-Observe patterns
-Find the relationship between different variables
Are these answers acceptable for intercepts? Why or why not?
X-Intercept: 5
Y-Intercept: 8
No, they need to be coordinates
X-Intercept: (5,0)
Y-Intercept: (0,8)
x2 + x3, Simplify
Trick question, it's already simplified.
Answer: x2 + x3
190-100*2 =
-10
Is the equation: x2 + y2 = 9, a function?
No (Try making a table)
{(-3,3), (-2,2), (-1,1), (0,0), (1,-1), (2,-2), (3,-3)}
Given those ordered pairs: What is the function?
y = -x
What is the x-intercept of y = 2x - 6?
X-Intercept : (3,0)
x5x4y7z15y11 Simplify
x9y18z15
Freebie: Who is the tallest in the class?
Daily Double: Who is the shortest in the class?
First team to answer both gets the points and the answer does not include teachers or TAs
Check in class
Is the equation: y2 = x, a function?
No (Make a table and don't forget negatives)
Make a coordinate plane & table of the given function:
y = -5x + 3
Daily Double (Entire Class): What quadrants does this function run through?
I will check it myself
Daily Double: Quadrants I, II, IV
What is the equation of a line with an x-intercept at (-1,0) & a y-intercept at (0,-3)
y = -3x - 3
(x6 ⋅ x3) / x4 Simplify
x5
((290+170) / 230)2 =
4
Here are some ordered pairs: {(-3,10), (-2,5), (-1,2), (0,1), (1,2), (2,5), (3,10)}. Do these ordered pairs make a function?
Daily Double (Entire Class can answer this part): What equation runs through these points?
Hint: Both negative and positive x-values have the same y-values
Yes it is a function
Daily Double: y = x2 + 1
On the board:
y = -4x + 10
A line has an x-intercept of (-0.8,0) and goes through the point (0.2, 5). What is the y-intercept of this equation?
y-intercept: (0,4)
((a-1⋅ b-2)/ (a3b))2
a-8b-6
8 - (32 - (4 - 9)) / 7 =
6