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Level 364

Relations & Functions III


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What is an Integer?
A number that includes negative and positive whole numbers and 0 (i.e., -2, -1, 0, 1, 2).
i
What is the symbol for integers?
What is a natural number?
Whole positive numbers that don't include 0 (i.e., 1, 2, 3,...)
n
What is the symbol for natural numbers?
What is a whole number?
Whole positive numbers that include 0 (i.e., 0, 1, 2, 3,....)
W
What is the symbol for whole numbers?
What are rational numbers?
Rational numbers include negative and positive whole numbers and 0, as well as fractions, and decimals that repeat or terminate (i.e., 3/5, 0.2)
q
What is the symbol for rational numbers?
What are irrational numbers?
Decimals that don't terminate or repeat (i.e.,π, √2)
What is the symbol for irrational numbers?
Q (with a line over it's head)
What is a real number?
A real number includes both rational and irrational numbers (i.e., continuous data)
R
What is the symbol for a real number?
VERTICAL LINE TEST
A line is a function is it passes the
Substitute 2 for x. f(2)=3(2)+5
If I am told that f(x)=3x+5 and x=2 what is my next step?
Substitute 11 for f(x). 11=3x+5
If I am told that f(x)=3x+5 and f(x)=11 what is my next step?
y
f(x) is the same as...
<
is less than
>
is greater than
is less than or equal to
is greater than or equal to
undefined slope
Vertical line
Zero slope
a line that is horizontal.
(x-h)2+(y-k)2=r2
form of a circle
Center
Each regular polygon has a center because it can be inscribed in a circle.
use (x-h)2+(y-k)2=r2
when trying to find the radius and given the center and point it passes through what do you do?
function
If you repeat an INPUT, and you always get the same OUTPUT, your data is a ______________________ .
only one answer for y
when you plug a value in for "x" you get
Domain
The ______________________ is all the possible INPUT, X, values.
Range
The difference between the greatest number and the least number in a set of data.
Xer
all real numbers
Relation
A Smart Art graphic type that compares connections between concepts.
Yer
what if the range can be all numbers?
NO but its a relation
Is a circle equation a function?
Negative
Counting from the decimal point to the left makes the exponent ___________________________________
y
f(x) is another way of saying
Image of 5
plug in F(5)
composition of function
string together g(f(2))
union
The graph of a compound inequality with "or" in which the solution is all points that satisfy one or the other or both inequalities.
correlation coefficients (r) when graphing
Measure of how well the points on a scatter plot form a line (strength).
What do the strongest correlations form? And what are they?
They form the perfect line and are +1 and -1
What does a 0 correlation tell us?
that there is no linear relationship at all
To determine the "line of best fit".
If we find our data has a strong correlation what would the next logical step be?
Interpolation
When you use your regression equation to predict "y-values" using an x-value that is within the same range as all the other x-values we used to generate the regression equation.
Extrapolation
Predicting x and y values by using data outside the original data set
No
Is extrapolation reliable?
What do the transformations on functions do to the graphs?
they alter the graphs of our functions by playing with the equation
f(x)+3 does what?
shift up three units
F(x)-2 does what?
shift down 2 units
shift left
F(x+4) does what?
shift right
F(x-5) does what?
stretches
2f(x) does what?
compresses
1/3f(x) does what?
-f(x) does what?
Reflection over the x-axis
F(-x) does what?
Reflection over the y-axis
by using the distance form.
If you have two endpoints of the diameter but must find the circle equation how do you find the radius?
Use (x1+x2/2, y1+y2/2)
If you have two endpoints of the diameter but must find the circle equation how do you find the center points?