functions unit Flashcards
vertical line
x=number
horizontal line
y= number
How do recognize an even function equation?
the biggest exponent is even
How do recognize an odd function equation?
the biggest exponent is odd
linear parent function
y=x
domain deals with x or y
x
range deals with x or y
y
discrete graphs
only points
continuous graph
any line
(image of stopped continuous)
continuous
(image of infinite continuous)
continuous
what is the definition of a function?
every x has exactly 1 y
(0,3) (-2,4) (5,8) (6,3) is this a function?
yes
(0,3) (-2,4) (5,8) (0,3) is this a function?
yes
(0,3) (-2,4) (5,8) (-2,7) is this a function?
no
(0,3) (-2,4) (5,8) (2,7) is this a function?
yes
Looking at a graph, how can we tell if something is a function?
it passes the vertical line test
f(x)=2x+1 f(2)=____
5
f(2) is 2 an x or a y value?
x
f(x)=2x+1 f(x)=19
x=9
What would you do to f(x) and g(x) if you see (f+g)(x)?
add them f(x)+g(x)
What would you do to f(x) and g(x) if you see (f-g)(x)?
subtract them f(x)-g(x)
What would you do to f(x) and g(x) if you see (f-g)(3)?
plug 3 in for x and then subtract f(3)-g(3)
What would you do to f(x) and g(x) if you see (f(g(3))?
Plug 3 in for x in g(x) and then plu that number into x inside f(x)
What would you do to f(x) and g(x) if you see (f(g(x))?
Plug the g(x) equation in for x in the f(x) equation
f(x)=19 is 19 an x or a y value?
y
Translations of graphs do what?
move the graph left, right, up or down from the origin
If we see (x-2) in the equation what direction are we moving the graph?
2 to the right
y=(x-2)^2+3 what are the translations?
2 to the right and 3 up
y=(x)^2-3 what are the translations?
3 down
y+3=(x+2)^2 what are the translations?
2 to the left and 3 down
how can you graph any equation?
make an x y chart
How do you make an x y chart?
pick x values and then plug them into x in the equation to find y values
What button do you hit on your calculator to write an equation?
y=
What button do you hit on your calculator to write an x?
x,T,o,n
How do you change your screen so you can see further up on the graph?
window change the yMax
How do you change your screen so you can see further down on the graph?
window change the yMin
How do you change your screen so you can see further left on the graph?
window change the xMin
How do you change your screen so you can see further right on the graph?
window change the xMax
What buttons do you press if you get an error when looking at the graph?
zoom zstandard
To get to intersection on the calculator what buttons do you press?
2nd Trace
After you have clicked on intersection on the calculator, what do you do to find the intersection point on the graph?
move cursor to intersection point and press enter 3 times
How do you quit out of a screen when clear doesn’t work?
2nd mode
How do you put an exponent into your calculator?
To put a fraction into a calculator what must go around the top and bottom of the fraction bar?
( )
How do you change a decimal into a fraction on the calculator?
math frac (enter, enter)
When finding a y intercept what do you make x?
0
If you have an equation set equal to 0 what are you finding?
x intercept
When finding an x intercept what do you make y?
0
You always write intercepts as ______
points
x intercepts will be given as
( ,0)
y intercepts will be given as
(0, )
To find an x intercept on the calculator what do you do in the y= screen?
y1= equation y2=0
If you are finding x intercepts from the calcualtor, and you set y2=0, what buttons do you press next?
2nd trace– intersection
