Test 1
Mathematics 122 with Zoroya at University of Maine Orono
About this deck
By: Tim Nash
Created: 2011-02-14
Size: 40 flashcards
Views: 18
Created: 2011-02-14
Size: 40 flashcards
Views: 18
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An even Equation
when a graph is symmetric to the y-axis. If you plug in -x for x the equation does not change
Average Rate of change
= slope. change in y - change in x/ y-x
vertex of an equation
(-b/2a,(f)-b/2/a)
discriminent
b-scuared-4ac
Function
For each input there is only one out put.
Find domain of a square root
set < to 0. the (-infin,4) =x<4
see if point is in an equation
plug in the integer that coordinates with the given variable in the equation
Odd equation
symmetrical to the origin cubed unless negative than neither
Neither equation
when it is neither symmetrical to the y axis or origin
average rate of change for a squared function
Y2-Y1/X2-X1
`Secant line
the average rate of change is the slope in a secant line containing two points on that line. plug in the two points to find the rate of change. than plug in xy values and slope to Y=mx+b
Absolute value graph
even unless shifted to the right or left
Square root graph
half of a parabola. unless shifted the graph is in 1 quadrant
Square function
even unless shifted to right or left
Cube function
odd unless shifted to the right or left
graph Shifted on vertical plane
goes up if k is positive and down if k is negative
graph shifted on horizontal plane
when positive graph shifts to the left and when negative to the right
Vertical stretch
when the coefficient before the variable is larger than 1
Vertical compression
when the coefficient before the variable is less than 1
quadratic equation
f(x)=ax squared +bx+c = f(x)=a(x+h)squared+K
equation to find H
-b/2a
equation for k
4ac-bsquared/4a
find vertex with out graphing
find what h is by plugging into -b/2a and than plug h back into the equation h=x
maximizing an enclosed area
area=length*width
divide both the width and height by two to get the variables by themselves
determining degree
0 has a degree of 0
what does a non polynomial graph look like
has either cusp, corner gap or hole
power function
f(x)=ax raised to the N degree
zeros
zeros are the x intercepts
behavior near a zero
even degree will touch and an odd degree will cross the x axis
turning point
a graph can have as many turning points as one less than the degree
end behavior
even positive-both point up
even negative-both point down
odd possitive- one up to the right one down to the left
odd negative- one up to the left one down to the right
steps for anayzing the graph of a polynomial
find the x intercepts by plugging in 0 for y
find the y intercept by plugging in 0 for x
determine if the graph crosses or touches at each intercept
find the degree and figure out the end behaviors
determine the maximum number of turning points by looking at the deree
to find minima or maxima
find -b/2a and than plug back in to equation
Vertical Asymptotes
whatever the zeros are in the domain
Horizontal asymptotes
if numerator degree is smaller than the denominator than the asymptote is 0
If the degree is the same in both numerator and denominator than you divide the coefficients
If the numerator degree is larger than the denominator than there is an oblique asymptote
About this deck
By: Tim Nash
Created: 2011-02-14
Size: 40 flashcards
Views: 18
Created: 2011-02-14
Size: 40 flashcards
Views: 18
About StudyBlue
STUDYBLUE makes things that make you better at school.
Things like online flashcards with photos and audio.
Things like personalized quizzes and friendly reminders about when (and what) to study next.
Think of it as a digital backpack™: access to all of your study materials online and on your phone.
STUDYBLUE exists to make studying efficient and effective for every student, for free. Join us.
“Simply amazing. The flash cards are smooth, there are many different types of studying tools, and there is a great search engine. I praise you on the awesomeness.”
Dennis
Dennis