This word is used to describe the set of all inputs for a function.
What is the domain?
Is the following graph a function?
Not a function
Is the following function linear or non-linear?
f(x) = 2x +1
What is linear?
Find the DOMAIN:
{(-2, 4), (3, 2), (2, 10)}
What is {-2, 2, 3}?
What is the inverse function for the function below:
f(x) = {(-2,3),(4,8),(-1,-1),(0,9)}
What is
f-1(x) = {(3,-2),(8,4),(-1,-1),(9,0)}
Which variable will determine the opening of the parabola?
f(x)=a(x-h)^2+k
What is a ?
This word is used to describe the set of all outputs of a function.
What is the range?
Is the following line a function? If so be specific what kind of function.
What is a non-linear function?
Is the following function linear or non-linear?
f(x) = x2 + x + 1
What is non-linear?
Find the RANGE in
What is {-6, -5, -2, 3, 5}
Find in inverse of the function:
Teacher Check
Which direction will the parabola move if h was -3 ?
3 units to the right
This word describes a relation that pairs each x value with only one y value.
What is a function?
Is this a function and why?
What is no, because x's repeat at 8?
Based on the graph of the function, what is f(4)?
f(4) = -2
Find DOMAIN and RANGE:
D={-1 ≤ x ≤ 4}
R={-4 ≤ y ≤ 5}
What is the inverse of the function
f(x)=2/3x-5
f^-1(x)= (3x+15)/2
What is the vertex of the parabola?
Vertex is (-1,4)
What visual test can be used to determine if a graph is a function?
What is the Vertical Line Test?
Does the following table represent a function?
x f(x)
1 2
2 5
6 2
2 9
5 1
What is No, because the input (x) of 2 has two different outputs (y)?
Find the f(x) if f(10)
f(x) = 2/5x + 4
What is 8
Find the DOMAIN and RANGE:
D = {ALL REAL NUMBERS}
R= {ALL REAL NUMBERS}
Find h(k(x)) of the following functions
h(x)=2x-7
k(x)=(x+7)/2
h(k(x)) = x
Which direction will the parabola move if k was +7?
7 units up
This word describes any set of ordered pairs or the mapping between a set of inputs and a set of outputs.
What is a Relation?
Is the following line a function. If so, what kind of function.
What is No, not a function?
f(4) =
0
Find the DOMAIN and RANGE:
D = {ALL REAL NUMBERS}
R = {-5 ≤ y ≤ 1}
Find f(g(x)) of the following functions
f(x)=(x-2)/4
g(x)=4x-8
f(g(x)) = (4x-10)/4
OR
(2x-5)/2
What do we call the basic graph of a parabola?
y=x^2
The parent function