jeopardy growing exponentially welcome to the function fun with functions snoitcunf a special...
TRANSCRIPT
JeopardyJeopardy
Growing Growing ExponentiExponenti
allyally
WelcoWelcome to me to the the
FunctioFunctionn
Fun with Fun with FunctionFunction
ssSnoitcuSnoitcu
nfnf
A A special special FunctioFunctio
nn
Let’s Let’s ChangChange it Upe it Up
100 100 100 100 100 100
200 200 200 200 200 200
300 300 300 300300 300 300
400 400 400 400 400400 400
500 500 500 500 500 500
Growing ExponentiallyGrowing Exponentially 100 100
Evaluate or Simplify the Expression. Assume that no variable equals zero.
2a(5a3b5)2
Growing ExponentiallyGrowing Exponentially 200 200
Evaluate or Simplify the Expression. Assume that no variable equals zero.
(-5w4v5)2
Growing ExponentiallyGrowing Exponentially 300 300
Evaluate or Simplify the Expression. Assume that no variable equals zero.
2x-3
(2x)3
-1
Growing ExponentiallyGrowing Exponentially 400 400
Evaluate or Simplify the Expression. Assume that no variable equals zero.
s-3
4t
-3
5tS-7
-2
Growing ExponentiallyGrowing Exponentially 500 500Evaluate or Simplify the Expression. Assume that no variable equals zero.
q2p-1
4t
-3
5tS-7
-2
Welcome to the FunctionWelcome to the Function 100 100
State whether the relation is a function.
{(1,2),(2,3),(3,5),(4,7),(5,11)}
Welcome to the FunctionWelcome to the Function 200 200
State whether the relation is a function.
{(1,-1),(1,1),(2,-3)}
Welcome to the FunctionWelcome to the Function 300 300
State the domain and range for the function.
{(-1,-6),(5,8),(9,-1),(2,3)}
Welcome to the FunctionWelcome to the Function 400 400
Evaluate the function for x=1 and x=-1.
f(x) = 3x 2 – 2x + 1
Welcome to the FunctionWelcome to the Function 500 500
Evaluate the function for x=1 and x=-1.
f(x) = 3x 2 – 2
Fun with FunctionsFun with Functions100100
Let f(x) = 3x -4 and g(x0 = x/2 – 5. Find the new function, state any domain restrictions.
f + g
Fun with Functions Fun with Functions 200200
Let f(x) = 3x -4 and g(x0 = x/2 – 5. Find the new function, state any domain restrictions.
g – f
Fun with Functions Fun with Functions 300300
Let f(x) = 3x -4 and g(x0 = x/2 – 5. Find the new function, state any domain restrictions.
f/g
Fun with Functions Fun with Functions 400400
Let f(x) = 2x and g(x) = -x+2. Find the composite function.
f ○ g & g ○ f
Fun with Functions Fun with Functions 500500
Let f(x) = -3x – 5 and g(x) = 4x - 1. Evaluate the composite function.
(f ○ g)(3)
SnoitcunfSnoitcunf 200 200
Find an equation for the inverse of each function. Then use composition to verify that the equation you wrote is the inverse.
f(x) = -2/3x + 4
SnoitcunfSnoitcunf 300 300
Find an equation for the inverse of each function. Then use composition to verify that the equation you wrote is the inverse.
f(x) = (2 – x)/3
SnoitcunfSnoitcunf 400 400
Graph each function, and use the horizontal line test to determine if the inverse function is a function.
F(x) = x 2 – 1
SnoitcunfSnoitcunf 500 500
Graph each function, and use the horizontal line test to determine if the inverse function is a function.
F(x) = 3x + 5
A special Function A special Function 100100
Identify each transformation from the parent function f(x) =x2 to g.
G(x) = x2 - 2
A special Function A special Function 200200
Identify each transformation from the parent function f(x) =x2 to g.
G(x) = (x + 2)2
A special Function A special Function 300300
Write the for the graph described belowThe graph of f(x) = 3x + 1 is reflected
across the x axis.
Let’s Change it UpLet’s Change it Up300300
State the property that is illustrated in the statement.
5(2 – x) = 5(2) + 5(-x)
Let’s Change it UpLet’s Change it Up
400400Identify the transformation from f to g.
f(x) = x2
g(x) = (x – 2)2
Let’s Change it UpLet’s Change it Up
500500
Identify the transformation from f to g.
f(x) =|x|
g(x) = -|x +3|