Even & Odd: Equations
Even & Odd: Graphs and Coordinates
Find the Inverse Function
Verify an Inverse
Trivia
100
Is the function even, odd, or neither?
y=x^2
Even
100
A function that is even will have reflectional symmetry about the ______________ .
y-axis
100
To find the equation of an inverse function, we need to switch the ______________, then solve for y.
x and y in the equation
100
To prove the functions f(x) and g(x) are inverses of each other, what does f(g(x)) and g(f(x)) need to BOTH equal?
x
100
When is the quiz on even, odd, and inverse functions?
Tomorrow!
200
Is the function even, odd, or neither?
y=2x+7
Neither!
200
Odd function; rotational symmetry about the origin
200
Find the equation of the inverse of:
f(x)=3x
f^-1(x)=x/3
200
If a function f(x) has an inverse g(x), then g(x) will be a reflection of f(x) over the line __________.
y=x
200
In the movie "Toy Story" what is the name of the kid next door who blows up toys?
Sid
300
Is the function even, odd, or neither?
y=x^3-3x
Odd function
300
Even; mirror image over the y-axis
300
Find the inverse of the function:
f(x)=-2x+3
f^-1(x)=-(x-3)/2
300
Are the 2 functions inverses of each other?
f(x)=4x+2 , g(x)=(x-2)/4
Yes!
f(g(x))=x, and g(f(x))=x
300
Which singer’s real name is Stefani Joanne Angelina Germanotta?
Lady Gaga
400
If you multiply an even and an odd function, will the resulting function be even, odd, or neither?
This will create an ODD function
400
An even function passes through the coordinate point (8,12). What is another coordinate point that the function MUST pass through?
(-8,12); for even functions, the negative version of the same x-value will produce the SAME y-value.
400
Find the inverse of
f(x)=(x+2)/(3x)
f^-1(x)=2/(3x-1)
400
Are the 2 functions inverses of each other?
f(x)=3x+9 , and g(x)=(x+9)/3
No.
f(g(x))=x+18 , g(f(x))=x+6
400
On Armistice Day, at the 11th hour on the 11th day of the 11th month of 1918, which war came to an end?
World War I
500
Is the function even, odd, or neither?
y=4x-2x^3+3
Neither; f(1)=5, f(-1)=1
500
An odd function crosses through the coordinate point (2,3). What is another coordinate point that the graph MUST pass through?
(-2,-3); for odd functions, the negative of the same x-value produces the NEGATIVE of the same y-value.
500
Find the inverse of
f(x)=(4-x)/(2x+5)
f^-1(x)=(4-5x)/(2x+1)
500
Are the 2 functions inverses of each other?
f(x)=2(x+4)^2 , g(x)=sqrt(x/2)-4
Yes;
f(g(x))=x , and g(f(x))=x
500
What was the name of the long time host of Jeopardy that passed away this week?
Alex Trebek