Function Composition
Parent Functions
Domain and Range
Functional Inverses
Mr. Wulfsberg
100
Function Composition
f(x) = x + 2
g(x) = 4x
f(g(x))
f(x) = x + 2
g(x) = 4x
f(g(x))
What is 4x + 2?
100
Parent Functions
The rule for the parent cubic function.
(Write the expression)
The rule for the parent cubic function.
(Write the expression)
What is x3?
100
Domain and Range
One of the following statements is correct.
A domain is all the values that can be:
A) Results from a function
B) Intercepts in a function’s graph
C) Put into a function
One of the following statements is correct.
A domain is all the values that can be:
A) Results from a function
B) Intercepts in a function’s graph
C) Put into a function
What is C) Put into a function?
100
Inverse Functions
What inverse functions do.
What inverse functions do.
What is swap inputs and outputs?
100
Mr. Wulfsberg
When Mr. Wulfsberg began teaching at GPHS.
When Mr. Wulfsberg began teaching at GPHS.
What is after last Thanksgiving?
200
Function Composition
f(x) = 2x – 3
g(x) = x + 1
f(g(x))
f(x) = 2x – 3
g(x) = x + 1
f(g(x))
What is 2x – 1?
200
Parent Functions
A function family that has a vertex.
A function family that has a vertex.
What is quadratic/absolute value?
200
Domain and Range
One of the following statements is incorrect.
A range represents:
A) Result from a function
B) The collection of outputs
C) “y” values on a graph
D) None of these are incorrect
One of the following statements is incorrect.
A range represents:
A) Result from a function
B) The collection of outputs
C) “y” values on a graph
D) None of these are incorrect
What is D) None of these are incorrect?
200
Inverse Functions
The inverse of the cube root function.
The inverse of the cube root function.
What is the cubic function?
200
Mr. Wulfsberg
How many children Mr. Wulfsberg has.
How many children Mr. Wulfsberg has.
What is 5?
300
Function Composition
f(x) = 3x + 2
g(x) = 2x2
f(g(x))
f(x) = 3x + 2
g(x) = 2x2
f(g(x))
What is 6x2 + 2?
300
Parent Functions
A function family that has a point of inflection.
A function family that has a point of inflection.
What is cubic/cube root?
300
Domain and Range
The range of this function:
The range of this function:
What is y≥1?
300
Inverse Functions
The reason the inverse of the points below is not a function:
(1, 4), (-3, 5), (2, 4), (1, 4)
The reason the inverse of the points below is not a function:
(1, 4), (-3, 5), (2, 4), (1, 4)
What is there is more than one output for the input of 4?
300
Mr. Wulfsberg
Where Mr. Wulfsberg went to college.
Where Mr. Wulfsberg went to college.
Where is the University of Arizona?
400
Function Composition
f(x) = 3x + 2
g(x) = x2
g(f(x))
f(x) = 3x + 2
g(x) = x2
g(f(x))
What is 9x2 + 12x + 4
400
Parent Functions
A function family that has an asymptote.
A function family that has an asymptote.
What is exponential/logarithmic/rational?
400
Domain and Range
The domain of this function:
The domain of this function:
What is x ≤ -1?
400
Inverse Functions
The inverse function for x2 + 3.
The inverse function for x2 + 3.
What is the square root of the quantity (x – 3)?
400
Mr. Wulfsberg
What Mr. Wulfsberg did before he came to GPHS.
What Mr. Wulfsberg did before he came to GPHS.
What is Project Management?
500
Function Composition
f(x) = x + 1
g(x) = 2x
h(x) = x2
f(g(h(x)))
f(x) = x + 1
g(x) = 2x
h(x) = x2
f(g(h(x)))
What is 2x2+1?
500
Parent Functions
Stand up and make the graph of the absolute value with your arms!
Stand up and make the graph of the absolute value with your arms!
What is
?
? 500
Domain and Range
The range of this function:
The range of this function:
What is -2?
500
Inverse Functions
The equation for the line that inverse functions reflect across.
The equation for the line that inverse functions reflect across.
What is y = x?
500
Mr. Wulfsberg
The name of the Will Ferrell Saturday Night Live skit that Mr. Wulfsberg got his costume from for last Friday.
The name of the Will Ferrell Saturday Night Live skit that Mr. Wulfsberg got his costume from for last Friday.
What is More Cowbell?