Unit 2 Pre Calculus Flashcards
draw on a graph: y = x
a
draw on a graph:
y = |x|
b
draw on a graph:
y = x^2
c
draw on a graph:
y = x^3
d
draw on a graph:
y = square root of x
e
draw on a graph:
y = cube root of x
f
draw on a graph:
y = 1/x
g
draw on a graph:
y = 2^x
h
draw on a graph:
y = [[x]]
i
Show graph a
For y = x What is the
a) domain
b) range
c) x intercept
d) y intercept
e) extrema
f) increasing intervals
g) decreasing intervals
h) end behavior
I) discontinuities
j) is it even or odd?
HAS TO BE ABLE TO POINT OUT WHY ON GRAPH
a) all real numbers or (negative infinity to positive infinity)
b) all real numbers or (negative infinity to positive infinity)
c) 0,0
d) 0,0
e) none
f) (negative infinity to positive infinity)
g) none
h)as x ->infinity, f(x) = infinity
as x -> negative infinity, f(x) = negative infinity
I) none
j) odd
Show graph b
For y = |x| What is the
a) domain
b) range
c) x intercept
d) y intercept
e) extrema
f) increasing intervals
g) decreasing intervals
h) end behavior
I) discontinuities
j) is it even or odd?
HAS TO BE ABLE TO POINT OUT WHY ON GRAPH
a) all real numbers or (negative infinity to positive infinity)
b) y ≥ 0
c) (0,0)
d) (0,0)
e) absolute minimum (0,0)
f) (0, infinity)
g) (negative infinity, 0)
h) as x -> infinity, f(x) = infinity
as x -> negative infinity, f(x) = infinity
I) none
j) even
Show graph c
For y = x^2 What is the
a) domain
b) range
c) x intercept
d) y intercept
e) extrema
f) increasing intervals
g) decreasing intervals
h) end behavior
I) discontinuities
j) is it even or odd?
HAS TO BE ABLE TO POINT OUT WHY ON GRAPH
a) (negative infinity, positive infinity)
b) y≥0
c) (0,0)
d) (0, 0)
e) absolute minimum (0,0)
f) (0, infinity)
g) (negative infinity, 0)
h) as x -> infinity, f(x) = infinity
as x -> negative infinity, f(x) = infinity
I) none
j) even
Show graph d
For y = x ^3 What is the
a) domain
b) range
c) x intercept
d) y intercept
e) extrema
f) increasing intervals
g) decreasing intervals
h) end behavior
I) discontinuities
j) is it even or odd?
HAS TO BE ABLE TO POINT OUT WHY ON GRAPH
a) all real numbers
b) all real numbers
c) (0,0)
d) (0,0)
e) none
f) (negative infinity to positive infinity)
g) never
h) as x -> infinity, f(x) = infinity
as x -> negative infinity, f(x) = negative infinity
I) none
j) odd
Show graph e
For y = square root of x What is the
a) domain
b) range
c) x intercept
d) y intercept
e) extrema
f) increasing intervals
g) decreasing intervals
h) end behavior
I) discontinuities
j) is it even or odd?
HAS TO BE ABLE TO POINT OUT WHY ON GRAPH
a) x≥0
b) y≥0
c)(0,0)
d)(0,0)
e) absolute minimum (0,0)
f) (0, infinity)
g) none
h)as x -> infinity, f(x) = infinity
as x -> negative infinity), f(x) = 0
I) none
j) neither
Show graph f
For y = cubed root of x What is the
a) domain
b) range
c) x intercept
d) y intercept
e) extrema
f) increasing intervals
g) decreasing intervals
h) end behavior
I) discontinuities
j) is it even or odd?
HAS TO BE ABLE TO POINT OUT WHY ON GRAPH
a) all real numbers
b) all real numbers
c) (0,0)
d) (0,0)
e) none
f) (negative infinity, infinity)
g) never
h) as x -> infinity, f(x) = infinity
as x -> negative infinity, f(x) = negative infinity
I) none
j) odd
Show graph g
For y = 1/x What is the
a) domain
b) range
c) x intercept
d) y intercept
e) extrema
f) increasing intervals
g) decreasing intervals
h) end behavior
I) discontinuities
j) is it even or odd?
HAS TO BE ABLE TO POINT OUT WHY ON GRAPH
a) x can not equal 0
b) y can not equal 0
c) none
d) none
e) none
f) none
g)
(negative infinity, 0)U(0, infinity)
h)as x -> infinity, f(x) = 0
as x -> negative infinity, f(x) = 0
I) infinite
j) odd
Show graph h
For y = 2^x What is the
a) domain
b) range
c) x intercept
d) y intercept
e) extrema
f) increasing intervals
g) decreasing intervals
h) end behavior
I) discontinuities
j) is it even or odd?
HAS TO BE ABLE TO POINT OUT WHY ON GRAPH
a) all real numbers
b) y>0
c) none
d)(0, 1)
e) none
f) (negative infinity, positive infinity)
g) none
h) as x -> infinity, f(x) = infinity
as x -> negative infinity, f(x) = 0
I) none
j) neither
Show graph i
For y = [[x]] What is the
a) domain
b) range
c) x intercept
d) y intercept
e) extrema
f) increasing intervals
g) decreasing intervals
h) end behavior
I) discontinuities
j) is it even or odd?
HAS TO BE ABLE TO POINT OUT WHY ON GRAPH
a) all real numbers
b) all integers
c) (a, 0)
d) (0,0)
e) none
f) none
g) none
h) as x -> infinity, f(x)= infinity
as x -> negative infinity, f(x) = negative infinity
I) yes, wherever a is an integer
j) neither
domain and range tip
what x/y cannot be ex. if theres a jump that x coordinate would be the domain like x cannot equal 8
what are the zeroes of a graph
the x coordinates of the x intercepts
x and y intercepts
wherever the line intersects for x its where the line with just x ex. (4, 0)
same for y just with y line not x line
ex. (0, 9)
what coordinates are increasing and decreasing intervals?
x coordinates
What do you do when given something like f(-10) and a graph
that means you look at the graph and find the y coordinate on the line corresponding with x = -10
How would you find the rate of change for [1, 2]
those are both x coordinates so you could look at the graph to see the corresponding y coordinates and then use slope equation (y2-y1/x2-x1)
what are the three tests for symmetry?
x axis: if replacing y with -y gets the same equation it is true
y axis: if replacing x with -x gets the same equation it is true
origin: if replacing y with -y and x with -x gets the same equation it it true
