Show:
Transformations
Even and Odd Functions
Operations with Functions
Inverse Functions
100
Determine algebraically if the function is even, odd, or neither. f(x) = (1 + x^2) / x
Odd
100
Solve If f(x)= 3 and g(x)= 9 Find: f(g(4))
108
100
Find the inverse of f(x)= 3x-2
y=(x+2)/3
200
Solve If q(x)=(f•g)(x) and q(x)= (4x^2)+6x-18
f(x)= 3/2 g(x)=3
200
f(x) is a reflection of g(x), is f(x) also the inverse of g(x)?
No, f(x) has to be a reflection over the y=x line
300
Use the table to determine is the function is even, odd, or neither.
Even
300
Find: f(x) using the graphs given f(g(4))
f(x)= 2
300
Is {(2,5), (7,3)} the inverse relation of {(5,2), (3,7)}?
yes, the coordinates of the original function are swapped in the inverse function
400
The graph of a parent function and a transformation of the parent function are given. Write the equation of the transformed function.
f(x)=1/(x+3)+1
400
Determine graphically if the function is even, odd, or neither.
Neither
400
Find: g(x) using the graphs given (g•f)(3)
g(x)= 8
400
Are the two functions inverses of each other?
yes, the coordinates of one line (x,y) are swapped in the other (y,x)