Function Composition
Parent Functions
Domain and Range
Functional Inverses
100
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?
100
Parent Functions
A function family that has a vertex.
A function family that has a vertex.
What is quadratic/absolute value?
100
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?
100
Inverse Functions
The inverse of the cube root function.
The inverse of the cube root function.
What is the cubic function?
200
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?
200
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?
200
Domain and Range
The range of this function:
f(x) = x2 - x + 12
What is (11.75, infinity)?
200
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
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
300
Parent Functions
A function family that has an asymptote.
A function family that has an asymptote.
What is exponential/logarithmic/rational?
300
Domain and Range
The domain of this function:
f(x)=sqrt(15-x) +3
What is (-infinity, 15)?
300
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
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?
400
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
?
? 400
Domain and Range
The range of this function:
What is -2?
400
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?