math final Flashcards
completing the square formula
(b/2) squared
exponential formula
y= a(b) to the power of x
a represents y intercept, b represents growth/decay
how to find zeros of function on calc
called the zero product property
plug function into calc, go to split screen table, and find x’s that have y as zero. Ex: (9,0) (4,0). 9 and 4 would be the zeros
remember to always first try and find the _____ when factoring
gcf
what does open circle represent
less than or greater than/not included
what kind of line is a less than greater than
dotted
what does closed circle represent
less than or equal to, greater than or equal to/included
when putting inequalities on a number line such as x is greater than 7, or 15 is less than 7, the number line’s line will point in the ______ direction of the less than/greater than symbol. If its less than/greater than, the circle is _____
opposite
open
when 2 sides of an inequality equal each other, such as 10a -8 is greater than 10a -8, there are ______
infinite solutions
when you multiply or divide a neg number in a inequality, you _____
flip the sign
what is an empty set
a set that contains no elements- the empty set is a subset of every set
what is the universal set
the largest set you are using
what is the complement of a set
the set of all the elements in the universal set that are NOT in the set
ex: what are the subsets of {3,4,5}
{3,4} {3}{4}{4,5}{3,5}….
rate of change aka
slope
function rules:
x values cannot repeat
one output per input
y values can repeat
linear function equation
y=mx+b
what is a nonlinear function
a function whose graph is not a line or part of a line
what is a continuous graph
a graph that is unbroken
what is a discrete graph
a graph composed of distinct, isolated points
relation uses:
domain and range
relations may or may not be a function
point slope form equation
y-y =m(x-x )
1 1
y sub 1 is y coordinate, m is slope, x sub 1 is x coordinate
h or v? y=5
horizontal
h or v? x=6
vertical
standard form equation
ax + by =c
the x intercept is
where the line crosses the x axis
the y intercept is
where the line crosses the y axis
to find x intercept
plug in zero for y and solve
to find y intercept
plug in zero for x and solve
positive line is
low to high