Section 1.1
Section 1.2
Section 1.3
Section 1.4
Section 1.5
Section 1.6
100
Is the following a function? Explain.
Yes, it passes the vertical line test.
100
What type of symmetry does this graph have?
Origin Symmetry
100
What are the three types of discontinuity in a graph?
Infinite, Jump. Removable
100
What are all the types of extrema on a graph?
Relative Maximum
Relative Minimum
Absolute Maximum
Absolute Minimum
100
Name 3 Parent Functions that were new this year.
Greatest Integer Function, Reciprocal, Cubic
100
What are the three cases for domain restrictions?
1. 1/x ; x \ne0
2. sqrtx; x>=0
3. 1/sqrtx; x>0
200
Write set-builder and interval notation for the following, if possible.
x<=4
Interval:
(-oo, 4]
Set-Builder:
{x|x<=4;x inR}
200
If a function is odd, it has symmetry about the _____.
Origin
200
Is the function below continuous?
Yes, it is continuous.
200
Find and classify the relative minimum of this graph.
Relative Minimum of 0 at x=0
200
What are the anchor points of the square root function?
(0,0) (1,1) (4,2) optional: (9,3)
200
Find f(g(x)) if
g(x)=x+1
and
f(x)= 2x^2 +5x
f(g(x))=2x^2+9x+7
300
Write the following in set-builder and interval notation, if possible.
{......3,4,5,6}
Set Builder:
{x|x<=6; x inZ }
Interval : Not Possible
300
What is the domain of the function below.
Domain: All Real Numbers
300
For the graph below, identify the location and type of each discontinuity.
Jump Discontinuity at x=1.
300
On what intervals is this graph increasing? Decreasing?
Decreasing:
(0,2)
Increasing :
(-oo,0)U(2,oo)
300
Sketch a graph of the following:
f(x)= 1/(x+2)-3
300
Come up with functions f(x) and g(x) such that f(g(x))=h(x) if
h(x)=(x^2 +3)/(x^2-1)
g(x)= x^2 +3
f(x)= x/x-4
OR
g(x)= x^2 -1
f(x)= x+4/x
400
State the domain of the following function.
sqrt(x-2)/(x^2+5x+6)
Domain:
[2, oo)
{x|x>=2; x inR}
400
What are the rules for finding if a function is even and odd? *HINT* they use f(x)=
Even: f(x)=f(-x)
Odd: -f(x)=f(-x)
OR f(x)=-f(-x)
400
What is the end behavior of the graph below?
lim/(x->oo)f(x)=1 lim/(x->-oo)f(x)=1
400
Classify all the extrema of graph below.
Absolute Min. of -3 at x=2,-2
Relative Max of 1 at x=0
400
Sketch a graph of the greatest integer function.
400
Find f(x)*g(x) and the domain restrictions.
f(x)=sqrt(x-5)
g(x)=1/(x^2+6x+8
sqrt(x-5)/(x^2+6x+8)
{x|x>=5;x inR}
[5,oo)
500
State the domain of the function.
2/sqrt(4x^2-16)
Domain:
(-oo,-2)U(2,oo)
500
What would the y-intercept of the function below be?
(2x+1)/(x^2-4)
y-intercept:
(0, -1/4)
500
Determine between which consecutive integers the real zeros of each function are located on the given interval.
f(x)=-2x^3+9x ; [-3,1]
There are zero's on the interval (-3,-2) and at x=0.
500
Find the average rate of change of the function on the interval below.
f(x)=1/2x^2-4x+2; [-2,4]
-3
500
Create an equation for the graph below.
f(x)=2sqrt(x+4)
500
Find the difference quotient of
f(x)=2x^2+3x
4x+2h+3