3.1 Representing Functions
Domain represents which coordinates? (x or y)
x coordinates
How many outputs can an input have to make a function?
One
True
What is the softest mineral in the world?
Talc
Ask Mr. W to draw on the board for reference. What is the Line of Symmetry on the graph displayed?
x=__
What is the Capital of Canada?
Ottawa
What is the vertical line test, and what does it reveal?
It is test used on graphs to determine if there are multiple y-values on a single x-value. It determines if a relation is a function or not.
Is the following expression linear or nonlinear?
x^2+y=16
nonlinear
y=0
Ask Mr. W to draw on the board for reference. What is the relative minimum?
(_,_)
What is the Domain and Range of the following data? (-3,-5), (0,4), (2,0), (3,-5)
D:(-3,0,2,3)
R:(-5,0,4)
Solve for f(x)=2x+15, f(6)
f(6)= 27
Write –2y=5x – 6 in standard form.
5x+2y=+6
Looking at the following points, how many y-intercepts are there? (1,4), (-2,0), (0,1), (0,9),(3,-5), (5,-5)
2
What are the extremas?
Relative Minimum, Relative Maximum
For this year’s science fair, Julie will attempt to answer the question Does fertilizer make a plant grow taller?
Using the variables "fertilizer" and "plant's growth", which is the independent variable and which is the dependent variable?
Fertilizer - Independent Variable
Growth - Dependent
What is the rarest m&m color?
Brown
Does the following set of data represent a LINEAR function? (Same rate of change between x values and y values)
(1,55),(2,100),(3,145),(4,185), (5,220)
What is the y-intercept of the following Linear Equation?
4x-y=8
-2
Define the relative maximum.
the highest point in the near area of the graph (a hill)
What is the range of the relation y=2x^2–5 when the domain is {-1, 0, 1, 2}? State the values in ascending order.
R:(-5, -3, 3)
For f(x)=3x – 5, find the value of f(–1)+f(3)
f(-1) + f(3)= -4
What is the tallest breed of dog in the world?
Great Dane
The following Linear Equation y=5 has a y-intercept of what?
5
What’s the hardest rock?
Diamond