Inverse Parent Functions
Level 1 (rigor)
Level 2 (rigor)
Level 3 (rigor)
Extra
100
Inverse of x2?
square root
+400
100
Can a graph be a function but not a 1 to 1 function? Why?
yes, because it can only pass the horizontal line test and still be a function.
steal 600 pts
100
Find inverse algrebraically.
f(x)= 2x -7
(x+7)/2
+800
100
How do you restrict the domain of a quadratic to make it a 1 to 1 function?
Find the vertex and focus only on the positive side.
+800
100
What do you call a number that can’t sit still?
a romain numeral
+700
200
Inverse of cube root?
x3
+500
200
Can a graph be a 1 to 1 function and NOT a function?
No, if it is one to one, it must be a function.
swap points with the higher team
200
Find inverse.
f(x)= 3x2-1
sqrt( (x+1)/3
Steal 600 pts
200
Find range.
[0, infinity)
drop to last
200
What is my favorite place in NYC?
Times Square
steal 900
300
Inverse of square root?
x2
+600
300
Is this graph 1 to 1? Why?
no, it does not pass the vertical line test.
+700
300
Find inverse.
f(x)=
(x-5)/3
3x + 5
make 2 teams swap points
300
Are they inverses? Why or why not?
f(x)= (x + 2)2
f(x) =
sqrt(x-2)
no, explanation...
rock paper scissors for 900 pts with lowest team
300
Why was the equal sign so humble?
Because it knew it wasn’t less than or greater than anyone.
+600
400
inverse of x3?
cube root
+800
400
1 to 1? Why?
yes, one x for every y.
steal all points
400
Explain the steps when undoing a function. IN ORDER.
1. undo addition/subtraction.
2. undo multiplication/division
3. undo exponents
4. parenthesis last
400
Find the vertex and restrict the domain.
f(x) = (x+2)2 - 3
Vertex: (-2, -3)
Domain: [-2, infinity)
700 pts
400
Why are 1 to 1 functions so loyal?
They have one input for every output.
drop to last
500
Why do you restrict the x2 graph?
to make it 1 to 1
+900
500
1 to 1? Why?
yes, one input for every output.
+700
500
Find inverse.
f(x) = - (x+2)2 + 3
steall all points
sqrt(-x+3)-2
500
+900
500
What’s a function’s biggest fear?
to fail the vertical line test
+1000