Functions
Analyze Functions and Relations
Continuity, End Behavior, and A.R.C
Parent Functions and Transformations
Miscellaneous
100
Function or not a function?
Not a function
100
State the domain:
D={x|0<=x<=4}
100
Determine whether the graph of the function below has infinite discontinuity, jump discontinuity, removable discontinuity, or is continuous.
f(x)=x^2-3x
Continuous
100
Identify the parent function
Square root function
100
How tall is Mr. Akre?
6' 5"
200
Function or not a function?
3x-2y=18
Function
200
State the range:
R={f(x)|0<=f(x)<=2}
200
Determine whether the graph of the function below has infinite discontinuity, jump discontinuity, removable discontinuity, or is continuous.
f(x)=x/(x+7)
Infinite discontinuity at x = -7
200
List the transformations to the parent functions below
g(x)=-(x-6)^2-5
Reflected vertically, translated 5 units down, and translated 6 units right
200
What is Mr. Akre's favorite color?
Orange
300
Evaluate f(5) for
f(x)=x^2-3x+4
14
300
Find the y-intercept:
f(x)=4x-9
-9
300
Determine the end behavior of the function below:
f(x)=-2x^4-5x+1
As x approaches infinity, f(x) approaches negative infinity
As x approaches negative infinity, f(x) approaches negative infinity
300
The function of the graph shown below
f(x)=abs(x+4)-3
300
Find g(f(x))
f(x)=x-6
g(x)=x^2-36
g(f(x))=x^2-12x
400
Evaluate f(-3x) for
f(x)=x^2-3x+4
9x^2+9x+4
400
Find the zeros for the function:
f(x)=x^2-6x-27
-3,9
400
Find the average rate of change of the function on the interval [0,2]
f(x)=-x^3+3x+1
-1
400
Find (f+g)(x)
f(x)=x+3
g(x)=2x^2+4x-6
(f+g)(x)=2x^2+5x-3
400
Are these functions inverses?
f(x)=sqrt(4-x)
g(x)=4-x^2
Yes, they are inverses
500
State the domain:
f(x)=x/(x^2-4)
D={x|x!=+-2,x in RR}
500
Find the zeros:
f(x)=sqrt(x+2)-1
-1
500
Find the relative maximum for the function
f(x)=x^3-4x
(-1,3)
500
Find (f x g)(x)
f(x)=1/x
g(x)=1/(x^2)
(f*g)(x)=1/(x^3)
500
f(x)=(x+3)/(x-8)
Find the inverse of the function
f^(-1)(x)=(8x+3)/(x-1)